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Finding the Fourth Proportional to 26,790, 36,970.20 and 15,614.16

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Solution

The fourth proportional to 26,790, 36,970.20 and 15,614.16 is: 21,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,790 : 36,970.20 = 15,614.16 : x
  2. Step 2: Convert to fraction form
    26,790/36,970.20 = 15,614.16/x
  3. Step 3: Cross multiply
    26,790x = 36,970.20 × 15,614.16
  4. Step 4: Simplify right side
    26,790x = 577,258,618.03
  5. Step 5: Solve for x
    x = 577,258,618.03/26,790
  6. Step 6: Final answer
    x = 21,547.54

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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.