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Finding the Fourth Proportional to 4,761.38, 6,570.72 and 2,665.50

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Solution

The fourth proportional to 4,761.38, 6,570.72 and 2,665.50 is: 3,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.38 : 6,570.72 = 2,665.50 : x
  2. Step 2: Convert to fraction form
    4,761.38/6,570.72 = 2,665.50/x
  3. Step 3: Cross multiply
    4,761.38x = 6,570.72 × 2,665.50
  4. Step 4: Simplify right side
    4,761.38x = 17,514,254.16
  5. Step 5: Solve for x
    x = 17,514,254.16/4,761.38
  6. Step 6: Final answer
    x = 3,678.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.