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Finding the Fourth Proportional to 6,283.77, 8,663.98 and 5,431.49

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Solution

The fourth proportional to 6,283.77, 8,663.98 and 5,431.49 is: 7,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.77 : 8,663.98 = 5,431.49 : x
  2. Step 2: Convert to fraction form
    6,283.77/8,663.98 = 5,431.49/x
  3. Step 3: Cross multiply
    6,283.77x = 8,663.98 × 5,431.49
  4. Step 4: Simplify right side
    6,283.77x = 47,058,320.73
  5. Step 5: Solve for x
    x = 47,058,320.73/6,283.77
  6. Step 6: Final answer
    x = 7,488.87

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1.5x scale

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.