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Finding the Fourth Proportional to 15,648.59, 21,594.76 and 9,678.69

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Solution

The fourth proportional to 15,648.59, 21,594.76 and 9,678.69 is: 13,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.59 : 21,594.76 = 9,678.69 : x
  2. Step 2: Convert to fraction form
    15,648.59/21,594.76 = 9,678.69/x
  3. Step 3: Cross multiply
    15,648.59x = 21,594.76 × 9,678.69
  4. Step 4: Simplify right side
    15,648.59x = 209,008,963.47
  5. Step 5: Solve for x
    x = 209,008,963.47/15,648.59
  6. Step 6: Final answer
    x = 13,356.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.