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Finding the Fourth Proportional to 30,531.57, 45,800.25 and 9,471.84

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Solution

The fourth proportional to 30,531.57, 45,800.25 and 9,471.84 is: 14,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.57 : 45,800.25 = 9,471.84 : x
  2. Step 2: Convert to fraction form
    30,531.57/45,800.25 = 9,471.84/x
  3. Step 3: Cross multiply
    30,531.57x = 45,800.25 × 9,471.84
  4. Step 4: Simplify right side
    30,531.57x = 433,812,485.97
  5. Step 5: Solve for x
    x = 433,812,485.97/30,531.57
  6. Step 6: Final answer
    x = 14,208.65

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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.