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Finding the Fourth Proportional to 10,391.76, 14,311.50 and 9,724.74

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Solution

The fourth proportional to 10,391.76, 14,311.50 and 9,724.74 is: 13,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.76 : 14,311.50 = 9,724.74 : x
  2. Step 2: Convert to fraction form
    10,391.76/14,311.50 = 9,724.74/x
  3. Step 3: Cross multiply
    10,391.76x = 14,311.50 × 9,724.74
  4. Step 4: Simplify right side
    10,391.76x = 139,175,616.51
  5. Step 5: Solve for x
    x = 139,175,616.51/10,391.76
  6. Step 6: Final answer
    x = 13,392.88

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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.