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Finding the Fourth Proportional to 11,242.64, 15,514.64 and 6,206.72

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Solution

The fourth proportional to 11,242.64, 15,514.64 and 6,206.72 is: 8,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.64 : 15,514.64 = 6,206.72 : x
  2. Step 2: Convert to fraction form
    11,242.64/15,514.64 = 6,206.72/x
  3. Step 3: Cross multiply
    11,242.64x = 15,514.64 × 6,206.72
  4. Step 4: Simplify right side
    11,242.64x = 96,295,026.38
  5. Step 5: Solve for x
    x = 96,295,026.38/11,242.64
  6. Step 6: Final answer
    x = 8,565.16

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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.