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Finding the Fourth Proportional to 15,892.70, 21,930.71 and 9,175.26

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Solution

The fourth proportional to 15,892.70, 21,930.71 and 9,175.26 is: 12,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.70 : 21,930.71 = 9,175.26 : x
  2. Step 2: Convert to fraction form
    15,892.70/21,930.71 = 9,175.26/x
  3. Step 3: Cross multiply
    15,892.70x = 21,930.71 × 9,175.26
  4. Step 4: Simplify right side
    15,892.70x = 201,219,966.23
  5. Step 5: Solve for x
    x = 201,219,966.23/15,892.70
  6. Step 6: Final answer
    x = 12,661.16

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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.