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Finding the Fourth Proportional to 10,604.90, 14,639.74 and 6,631.86

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Solution

The fourth proportional to 10,604.90, 14,639.74 and 6,631.86 is: 9,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.90 : 14,639.74 = 6,631.86 : x
  2. Step 2: Convert to fraction form
    10,604.90/14,639.74 = 6,631.86/x
  3. Step 3: Cross multiply
    10,604.90x = 14,639.74 × 6,631.86
  4. Step 4: Simplify right side
    10,604.90x = 97,088,706.12
  5. Step 5: Solve for x
    x = 97,088,706.12/10,604.90
  6. Step 6: Final answer
    x = 9,155.08

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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.