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Finding the Fourth Proportional to 6,387.81, 9,582.19 and 1,707.72

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Solution

The fourth proportional to 6,387.81, 9,582.19 and 1,707.72 is: 2,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.81 : 9,582.19 = 1,707.72 : x
  2. Step 2: Convert to fraction form
    6,387.81/9,582.19 = 1,707.72/x
  3. Step 3: Cross multiply
    6,387.81x = 9,582.19 × 1,707.72
  4. Step 4: Simplify right side
    6,387.81x = 16,363,666.91
  5. Step 5: Solve for x
    x = 16,363,666.91/6,387.81
  6. Step 6: Final answer
    x = 2,561.70

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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.