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Finding the Fourth Proportional to 27,307.68, 37,690 and 15,978.40

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Solution

The fourth proportional to 27,307.68, 37,690 and 15,978.40 is: 22,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.68 : 37,690 = 15,978.40 : x
  2. Step 2: Convert to fraction form
    27,307.68/37,690 = 15,978.40/x
  3. Step 3: Cross multiply
    27,307.68x = 37,690 × 15,978.40
  4. Step 4: Simplify right side
    27,307.68x = 602,225,896
  5. Step 5: Solve for x
    x = 602,225,896/27,307.68
  6. Step 6: Final answer
    x = 22,053.35

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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.