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Finding the Fourth Proportional to 5,577.90, 8,366.80 and 1,417.92

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Solution

The fourth proportional to 5,577.90, 8,366.80 and 1,417.92 is: 2,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.90 : 8,366.80 = 1,417.92 : x
  2. Step 2: Convert to fraction form
    5,577.90/8,366.80 = 1,417.92/x
  3. Step 3: Cross multiply
    5,577.90x = 8,366.80 × 1,417.92
  4. Step 4: Simplify right side
    5,577.90x = 11,863,453.06
  5. Step 5: Solve for x
    x = 11,863,453.06/5,577.90
  6. Step 6: Final answer
    x = 2,126.87

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1.5x scale

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.