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Finding the Fourth Proportional to 27,587, 38,070.66 and 15,011.76

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Solution

The fourth proportional to 27,587, 38,070.66 and 15,011.76 is: 20,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587 : 38,070.66 = 15,011.76 : x
  2. Step 2: Convert to fraction form
    27,587/38,070.66 = 15,011.76/x
  3. Step 3: Cross multiply
    27,587x = 38,070.66 × 15,011.76
  4. Step 4: Simplify right side
    27,587x = 571,507,610.96
  5. Step 5: Solve for x
    x = 571,507,610.96/27,587
  6. Step 6: Final answer
    x = 20,716.56

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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.