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Finding the Fourth Proportional to 4,703.31, 6,488.26 and 3,957

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Solution

The fourth proportional to 4,703.31, 6,488.26 and 3,957 is: 5,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.31 : 6,488.26 = 3,957 : x
  2. Step 2: Convert to fraction form
    4,703.31/6,488.26 = 3,957/x
  3. Step 3: Cross multiply
    4,703.31x = 6,488.26 × 3,957
  4. Step 4: Simplify right side
    4,703.31x = 25,674,044.82
  5. Step 5: Solve for x
    x = 25,674,044.82/4,703.31
  6. Step 6: Final answer
    x = 5,458.72

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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.