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Finding the Fourth Proportional to 9,277.76, 12,803.18 and 6,488.12

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Solution

The fourth proportional to 9,277.76, 12,803.18 and 6,488.12 is: 8,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.76 : 12,803.18 = 6,488.12 : x
  2. Step 2: Convert to fraction form
    9,277.76/12,803.18 = 6,488.12/x
  3. Step 3: Cross multiply
    9,277.76x = 12,803.18 × 6,488.12
  4. Step 4: Simplify right side
    9,277.76x = 83,068,471.77
  5. Step 5: Solve for x
    x = 83,068,471.77/9,277.76
  6. Step 6: Final answer
    x = 8,953.51

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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.