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Finding the Fourth Proportional to 6,457.91, 9,686.95 and 3,681.27

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Solution

The fourth proportional to 6,457.91, 9,686.95 and 3,681.27 is: 5,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.91 : 9,686.95 = 3,681.27 : x
  2. Step 2: Convert to fraction form
    6,457.91/9,686.95 = 3,681.27/x
  3. Step 3: Cross multiply
    6,457.91x = 9,686.95 × 3,681.27
  4. Step 4: Simplify right side
    6,457.91x = 35,660,269.22
  5. Step 5: Solve for x
    x = 35,660,269.22/6,457.91
  6. Step 6: Final answer
    x = 5,521.96

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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.