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Finding the Fourth Proportional to 9,275.76, 12,800.40 and 5,296.92

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Solution

The fourth proportional to 9,275.76, 12,800.40 and 5,296.92 is: 7,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.76 : 12,800.40 = 5,296.92 : x
  2. Step 2: Convert to fraction form
    9,275.76/12,800.40 = 5,296.92/x
  3. Step 3: Cross multiply
    9,275.76x = 12,800.40 × 5,296.92
  4. Step 4: Simplify right side
    9,275.76x = 67,802,694.77
  5. Step 5: Solve for x
    x = 67,802,694.77/9,275.76
  6. Step 6: Final answer
    x = 7,309.66

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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.