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Finding the Fourth Proportional to 9,253.80, 12,771 and 5,276.16

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Solution

The fourth proportional to 9,253.80, 12,771 and 5,276.16 is: 7,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.80 : 12,771 = 5,276.16 : x
  2. Step 2: Convert to fraction form
    9,253.80/12,771 = 5,276.16/x
  3. Step 3: Cross multiply
    9,253.80x = 12,771 × 5,276.16
  4. Step 4: Simplify right side
    9,253.80x = 67,381,839.36
  5. Step 5: Solve for x
    x = 67,381,839.36/9,253.80
  6. Step 6: Final answer
    x = 7,281.53

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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.