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Finding the Fourth Proportional to 6,842.68, 10,210.28 and 6,424.72

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Solution

The fourth proportional to 6,842.68, 10,210.28 and 6,424.72 is: 9,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.68 : 10,210.28 = 6,424.72 : x
  2. Step 2: Convert to fraction form
    6,842.68/10,210.28 = 6,424.72/x
  3. Step 3: Cross multiply
    6,842.68x = 10,210.28 × 6,424.72
  4. Step 4: Simplify right side
    6,842.68x = 65,598,190.12
  5. Step 5: Solve for x
    x = 65,598,190.12/6,842.68
  6. Step 6: Final answer
    x = 9,586.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.