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Finding the Fourth Proportional to 6,142.51, 9,169.07 and 5,686.07

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Solution

The fourth proportional to 6,142.51, 9,169.07 and 5,686.07 is: 8,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.51 : 9,169.07 = 5,686.07 : x
  2. Step 2: Convert to fraction form
    6,142.51/9,169.07 = 5,686.07/x
  3. Step 3: Cross multiply
    6,142.51x = 9,169.07 × 5,686.07
  4. Step 4: Simplify right side
    6,142.51x = 52,136,010.99
  5. Step 5: Solve for x
    x = 52,136,010.99/6,142.51
  6. Step 6: Final answer
    x = 8,487.74

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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.