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Finding the Fourth Proportional to 10,391.76, 14,347.08 and 6,617.04

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Solution

The fourth proportional to 10,391.76, 14,347.08 and 6,617.04 is: 9,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.76 : 14,347.08 = 6,617.04 : x
  2. Step 2: Convert to fraction form
    10,391.76/14,347.08 = 6,617.04/x
  3. Step 3: Cross multiply
    10,391.76x = 14,347.08 × 6,617.04
  4. Step 4: Simplify right side
    10,391.76x = 94,935,202.24
  5. Step 5: Solve for x
    x = 94,935,202.24/10,391.76
  6. Step 6: Final answer
    x = 9,135.62

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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.