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Finding the Fourth Proportional to 9,124.40, 13,686.60 and 4,977.20

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Solution

The fourth proportional to 9,124.40, 13,686.60 and 4,977.20 is: 7,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.40 : 13,686.60 = 4,977.20 : x
  2. Step 2: Convert to fraction form
    9,124.40/13,686.60 = 4,977.20/x
  3. Step 3: Cross multiply
    9,124.40x = 13,686.60 × 4,977.20
  4. Step 4: Simplify right side
    9,124.40x = 68,120,945.52
  5. Step 5: Solve for x
    x = 68,120,945.52/9,124.40
  6. Step 6: Final answer
    x = 7,465.80

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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.