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Finding the Fourth Proportional to 15,784.59, 21,781.99 and 9,065.48

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Solution

The fourth proportional to 15,784.59, 21,781.99 and 9,065.48 is: 12,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.59 : 21,781.99 = 9,065.48 : x
  2. Step 2: Convert to fraction form
    15,784.59/21,781.99 = 9,065.48/x
  3. Step 3: Cross multiply
    15,784.59x = 21,781.99 × 9,065.48
  4. Step 4: Simplify right side
    15,784.59x = 197,464,194.71
  5. Step 5: Solve for x
    x = 197,464,194.71/15,784.59
  6. Step 6: Final answer
    x = 12,509.93

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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.