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Finding the Fourth Proportional to 9,314.64, 12,857.40 and 9,038.16

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Solution

The fourth proportional to 9,314.64, 12,857.40 and 9,038.16 is: 12,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.64 : 12,857.40 = 9,038.16 : x
  2. Step 2: Convert to fraction form
    9,314.64/12,857.40 = 9,038.16/x
  3. Step 3: Cross multiply
    9,314.64x = 12,857.40 × 9,038.16
  4. Step 4: Simplify right side
    9,314.64x = 116,207,238.38
  5. Step 5: Solve for x
    x = 116,207,238.38/9,314.64
  6. Step 6: Final answer
    x = 12,475.76

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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.