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Finding the Fourth Proportional to 39,080, 53,931.04 and 27,920.96

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Solution

The fourth proportional to 39,080, 53,931.04 and 27,920.96 is: 38,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,080 : 53,931.04 = 27,920.96 : x
  2. Step 2: Convert to fraction form
    39,080/53,931.04 = 27,920.96/x
  3. Step 3: Cross multiply
    39,080x = 53,931.04 × 27,920.96
  4. Step 4: Simplify right side
    39,080x = 1,505,806,410.60
  5. Step 5: Solve for x
    x = 1,505,806,410.60/39,080
  6. Step 6: Final answer
    x = 38,531.38

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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.