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Finding the Fourth Proportional to 9,724.80, 14,674.08 and 8,515.20

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Solution

The fourth proportional to 9,724.80, 14,674.08 and 8,515.20 is: 12,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.80 : 14,674.08 = 8,515.20 : x
  2. Step 2: Convert to fraction form
    9,724.80/14,674.08 = 8,515.20/x
  3. Step 3: Cross multiply
    9,724.80x = 14,674.08 × 8,515.20
  4. Step 4: Simplify right side
    9,724.80x = 124,952,726.02
  5. Step 5: Solve for x
    x = 124,952,726.02/9,724.80
  6. Step 6: Final answer
    x = 12,848.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.