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Finding the Fourth Proportional to 9,989.60, 14,972.75 and 7,516.46

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Solution

The fourth proportional to 9,989.60, 14,972.75 and 7,516.46 is: 11,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.60 : 14,972.75 = 7,516.46 : x
  2. Step 2: Convert to fraction form
    9,989.60/14,972.75 = 7,516.46/x
  3. Step 3: Cross multiply
    9,989.60x = 14,972.75 × 7,516.46
  4. Step 4: Simplify right side
    9,989.60x = 112,542,104.50
  5. Step 5: Solve for x
    x = 112,542,104.50/9,989.60
  6. Step 6: Final answer
    x = 11,265.93

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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.