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Finding the Fourth Proportional to 5,426.48, 8,140.02 and 1,729

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Solution

The fourth proportional to 5,426.48, 8,140.02 and 1,729 is: 2,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.48 : 8,140.02 = 1,729 : x
  2. Step 2: Convert to fraction form
    5,426.48/8,140.02 = 1,729/x
  3. Step 3: Cross multiply
    5,426.48x = 8,140.02 × 1,729
  4. Step 4: Simplify right side
    5,426.48x = 14,074,094.58
  5. Step 5: Solve for x
    x = 14,074,094.58/5,426.48
  6. Step 6: Final answer
    x = 2,593.60

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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.