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Finding the Fourth Proportional to 8,477.66, 12,720 and 4,577.48

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Solution

The fourth proportional to 8,477.66, 12,720 and 4,577.48 is: 6,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.66 : 12,720 = 4,577.48 : x
  2. Step 2: Convert to fraction form
    8,477.66/12,720 = 4,577.48/x
  3. Step 3: Cross multiply
    8,477.66x = 12,720 × 4,577.48
  4. Step 4: Simplify right side
    8,477.66x = 58,225,545.60
  5. Step 5: Solve for x
    x = 58,225,545.60/8,477.66
  6. Step 6: Final answer
    x = 6,868.12

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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.