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Finding the Fourth Proportional to 21,225.12, 31,838 and 7,374.56

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Solution

The fourth proportional to 21,225.12, 31,838 and 7,374.56 is: 11,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.12 : 31,838 = 7,374.56 : x
  2. Step 2: Convert to fraction form
    21,225.12/31,838 = 7,374.56/x
  3. Step 3: Cross multiply
    21,225.12x = 31,838 × 7,374.56
  4. Step 4: Simplify right side
    21,225.12x = 234,791,241.28
  5. Step 5: Solve for x
    x = 234,791,241.28/21,225.12
  6. Step 6: Final answer
    x = 11,061.95

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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.