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Finding the Fourth Proportional to 9,972.16, 13,758.72 and 6,437.38

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Solution

The fourth proportional to 9,972.16, 13,758.72 and 6,437.38 is: 8,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.16 : 13,758.72 = 6,437.38 : x
  2. Step 2: Convert to fraction form
    9,972.16/13,758.72 = 6,437.38/x
  3. Step 3: Cross multiply
    9,972.16x = 13,758.72 × 6,437.38
  4. Step 4: Simplify right side
    9,972.16x = 88,570,108.95
  5. Step 5: Solve for x
    x = 88,570,108.95/9,972.16
  6. Step 6: Final answer
    x = 8,881.74

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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.