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Finding the Fourth Proportional to 6,781.67, 9,358.21 and 4,129.93

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Solution

The fourth proportional to 6,781.67, 9,358.21 and 4,129.93 is: 5,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.67 : 9,358.21 = 4,129.93 : x
  2. Step 2: Convert to fraction form
    6,781.67/9,358.21 = 4,129.93/x
  3. Step 3: Cross multiply
    6,781.67x = 9,358.21 × 4,129.93
  4. Step 4: Simplify right side
    6,781.67x = 38,648,718.50
  5. Step 5: Solve for x
    x = 38,648,718.50/6,781.67
  6. Step 6: Final answer
    x = 5,699.00

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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.