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Finding the Fourth Proportional to 9,278.16, 13,839.78 and 8,402.64

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Solution

The fourth proportional to 9,278.16, 13,839.78 and 8,402.64 is: 12,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.16 : 13,839.78 = 8,402.64 : x
  2. Step 2: Convert to fraction form
    9,278.16/13,839.78 = 8,402.64/x
  3. Step 3: Cross multiply
    9,278.16x = 13,839.78 × 8,402.64
  4. Step 4: Simplify right side
    9,278.16x = 116,290,689.02
  5. Step 5: Solve for x
    x = 116,290,689.02/9,278.16
  6. Step 6: Final answer
    x = 12,533.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.