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Finding the Fourth Proportional to 8,577, 12,887.01 and 5,458.35

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Solution

The fourth proportional to 8,577, 12,887.01 and 5,458.35 is: 8,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577 : 12,887.01 = 5,458.35 : x
  2. Step 2: Convert to fraction form
    8,577/12,887.01 = 5,458.35/x
  3. Step 3: Cross multiply
    8,577x = 12,887.01 × 5,458.35
  4. Step 4: Simplify right side
    8,577x = 70,341,811.03
  5. Step 5: Solve for x
    x = 70,341,811.03/8,577
  6. Step 6: Final answer
    x = 8,201.21

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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.