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Finding the Fourth Proportional to 6,424.74, 9,615.18 and 5,385.93

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Solution

The fourth proportional to 6,424.74, 9,615.18 and 5,385.93 is: 8,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.74 : 9,615.18 = 5,385.93 : x
  2. Step 2: Convert to fraction form
    6,424.74/9,615.18 = 5,385.93/x
  3. Step 3: Cross multiply
    6,424.74x = 9,615.18 × 5,385.93
  4. Step 4: Simplify right side
    6,424.74x = 51,786,686.42
  5. Step 5: Solve for x
    x = 51,786,686.42/6,424.74
  6. Step 6: Final answer
    x = 8,060.51

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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.