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Finding the Fourth Proportional to 11,475.64, 15,835.82 and 6,506.68

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Solution

The fourth proportional to 11,475.64, 15,835.82 and 6,506.68 is: 8,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.64 : 15,835.82 = 6,506.68 : x
  2. Step 2: Convert to fraction form
    11,475.64/15,835.82 = 6,506.68/x
  3. Step 3: Cross multiply
    11,475.64x = 15,835.82 × 6,506.68
  4. Step 4: Simplify right side
    11,475.64x = 103,038,613.28
  5. Step 5: Solve for x
    x = 103,038,613.28/11,475.64
  6. Step 6: Final answer
    x = 8,978.90

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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.