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Finding the Fourth Proportional to 6,387.51, 9,583.64 and 2,876.46

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Solution

The fourth proportional to 6,387.51, 9,583.64 and 2,876.46 is: 4,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.51 : 9,583.64 = 2,876.46 : x
  2. Step 2: Convert to fraction form
    6,387.51/9,583.64 = 2,876.46/x
  3. Step 3: Cross multiply
    6,387.51x = 9,583.64 × 2,876.46
  4. Step 4: Simplify right side
    6,387.51x = 27,566,957.11
  5. Step 5: Solve for x
    x = 27,566,957.11/6,387.51
  6. Step 6: Final answer
    x = 4,315.76

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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.