Home / 6,431-9,642.18-5,178.20

Finding the Fourth Proportional to 6,431, 9,642.18 and 5,178.20

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Solution

The fourth proportional to 6,431, 9,642.18 and 5,178.20 is: 7,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431 : 9,642.18 = 5,178.20 : x
  2. Step 2: Convert to fraction form
    6,431/9,642.18 = 5,178.20/x
  3. Step 3: Cross multiply
    6,431x = 9,642.18 × 5,178.20
  4. Step 4: Simplify right side
    6,431x = 49,929,136.48
  5. Step 5: Solve for x
    x = 49,929,136.48/6,431
  6. Step 6: Final answer
    x = 7,763.82

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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.