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Finding the Fourth Proportional to 7,714.98, 11,565.99 and 5,242.86

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Solution

The fourth proportional to 7,714.98, 11,565.99 and 5,242.86 is: 7,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.98 : 11,565.99 = 5,242.86 : x
  2. Step 2: Convert to fraction form
    7,714.98/11,565.99 = 5,242.86/x
  3. Step 3: Cross multiply
    7,714.98x = 11,565.99 × 5,242.86
  4. Step 4: Simplify right side
    7,714.98x = 60,638,866.33
  5. Step 5: Solve for x
    x = 60,638,866.33/7,714.98
  6. Step 6: Final answer
    x = 7,859.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.