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Finding the Fourth Proportional to 9,314.98, 13,977.50 and 7,239.16

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Solution

The fourth proportional to 9,314.98, 13,977.50 and 7,239.16 is: 10,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.98 : 13,977.50 = 7,239.16 : x
  2. Step 2: Convert to fraction form
    9,314.98/13,977.50 = 7,239.16/x
  3. Step 3: Cross multiply
    9,314.98x = 13,977.50 × 7,239.16
  4. Step 4: Simplify right side
    9,314.98x = 101,185,358.90
  5. Step 5: Solve for x
    x = 101,185,358.90/9,314.98
  6. Step 6: Final answer
    x = 10,862.65

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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.