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Finding the Fourth Proportional to 21,225.78, 31,838.91 and 7,374.90

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Solution

The fourth proportional to 21,225.78, 31,838.91 and 7,374.90 is: 11,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.78 : 31,838.91 = 7,374.90 : x
  2. Step 2: Convert to fraction form
    21,225.78/31,838.91 = 7,374.90/x
  3. Step 3: Cross multiply
    21,225.78x = 31,838.91 × 7,374.90
  4. Step 4: Simplify right side
    21,225.78x = 234,808,777.36
  5. Step 5: Solve for x
    x = 234,808,777.36/21,225.78
  6. Step 6: Final answer
    x = 11,062.43

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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.