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Finding the Fourth Proportional to 5,681.64, 8,522.44 and 1,577.64

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Solution

The fourth proportional to 5,681.64, 8,522.44 and 1,577.64 is: 2,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.64 : 8,522.44 = 1,577.64 : x
  2. Step 2: Convert to fraction form
    5,681.64/8,522.44 = 1,577.64/x
  3. Step 3: Cross multiply
    5,681.64x = 8,522.44 × 1,577.64
  4. Step 4: Simplify right side
    5,681.64x = 13,445,342.24
  5. Step 5: Solve for x
    x = 13,445,342.24/5,681.64
  6. Step 6: Final answer
    x = 2,366.45

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Similar ratio
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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.