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Finding the Fourth Proportional to 27,143.96, 37,459 and 15,656.20

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Solution

The fourth proportional to 27,143.96, 37,459 and 15,656.20 is: 21,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143.96 : 37,459 = 15,656.20 : x
  2. Step 2: Convert to fraction form
    27,143.96/37,459 = 15,656.20/x
  3. Step 3: Cross multiply
    27,143.96x = 37,459 × 15,656.20
  4. Step 4: Simplify right side
    27,143.96x = 586,465,595.80
  5. Step 5: Solve for x
    x = 586,465,595.80/27,143.96
  6. Step 6: Final answer
    x = 21,605.75

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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.