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Finding the Fourth Proportional to 6,502.38, 8,969.63 and 3,985.71

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Solution

The fourth proportional to 6,502.38, 8,969.63 and 3,985.71 is: 5,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.38 : 8,969.63 = 3,985.71 : x
  2. Step 2: Convert to fraction form
    6,502.38/8,969.63 = 3,985.71/x
  3. Step 3: Cross multiply
    6,502.38x = 8,969.63 × 3,985.71
  4. Step 4: Simplify right side
    6,502.38x = 35,750,343.99
  5. Step 5: Solve for x
    x = 35,750,343.99/6,502.38
  6. Step 6: Final answer
    x = 5,498.04

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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.