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Finding the Fourth Proportional to 9,972, 13,761.36 and 9,230.04

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Solution

The fourth proportional to 9,972, 13,761.36 and 9,230.04 is: 12,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 13,761.36 = 9,230.04 : x
  2. Step 2: Convert to fraction form
    9,972/13,761.36 = 9,230.04/x
  3. Step 3: Cross multiply
    9,972x = 13,761.36 × 9,230.04
  4. Step 4: Simplify right side
    9,972x = 127,017,903.25
  5. Step 5: Solve for x
    x = 127,017,903.25/9,972
  6. Step 6: Final answer
    x = 12,737.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.