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Finding the Fourth Proportional to 15,356, 21,191.37 and 8,641.74

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Solution

The fourth proportional to 15,356, 21,191.37 and 8,641.74 is: 11,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,356 : 21,191.37 = 8,641.74 : x
  2. Step 2: Convert to fraction form
    15,356/21,191.37 = 8,641.74/x
  3. Step 3: Cross multiply
    15,356x = 21,191.37 × 8,641.74
  4. Step 4: Simplify right side
    15,356x = 183,130,309.78
  5. Step 5: Solve for x
    x = 183,130,309.78/15,356
  6. Step 6: Final answer
    x = 11,925.65

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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.