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Finding the Fourth Proportional to 21,253.17, 31,878.12 and 7,402.17

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Solution

The fourth proportional to 21,253.17, 31,878.12 and 7,402.17 is: 11,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.17 : 31,878.12 = 7,402.17 : x
  2. Step 2: Convert to fraction form
    21,253.17/31,878.12 = 7,402.17/x
  3. Step 3: Cross multiply
    21,253.17x = 31,878.12 × 7,402.17
  4. Step 4: Simplify right side
    21,253.17x = 235,967,263.52
  5. Step 5: Solve for x
    x = 235,967,263.52/21,253.17
  6. Step 6: Final answer
    x = 11,102.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.