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Finding the Fourth Proportional to 8,849.71, 12,205.65 and 5,490.64

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Solution

The fourth proportional to 8,849.71, 12,205.65 and 5,490.64 is: 7,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.71 : 12,205.65 = 5,490.64 : x
  2. Step 2: Convert to fraction form
    8,849.71/12,205.65 = 5,490.64/x
  3. Step 3: Cross multiply
    8,849.71x = 12,205.65 × 5,490.64
  4. Step 4: Simplify right side
    8,849.71x = 67,016,830.12
  5. Step 5: Solve for x
    x = 67,016,830.12/8,849.71
  6. Step 6: Final answer
    x = 7,572.77

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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.