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Finding the Fourth Proportional to 30,489.60, 45,737.76 and 9,708.32

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Solution

The fourth proportional to 30,489.60, 45,737.76 and 9,708.32 is: 14,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.60 : 45,737.76 = 9,708.32 : x
  2. Step 2: Convert to fraction form
    30,489.60/45,737.76 = 9,708.32/x
  3. Step 3: Cross multiply
    30,489.60x = 45,737.76 × 9,708.32
  4. Step 4: Simplify right side
    30,489.60x = 444,036,810.16
  5. Step 5: Solve for x
    x = 444,036,810.16/30,489.60
  6. Step 6: Final answer
    x = 14,563.55

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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.