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Finding the Fourth Proportional to 9,708.80, 14,563.20 and 3,139.50

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Solution

The fourth proportional to 9,708.80, 14,563.20 and 3,139.50 is: 4,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.80 : 14,563.20 = 3,139.50 : x
  2. Step 2: Convert to fraction form
    9,708.80/14,563.20 = 3,139.50/x
  3. Step 3: Cross multiply
    9,708.80x = 14,563.20 × 3,139.50
  4. Step 4: Simplify right side
    9,708.80x = 45,721,166.40
  5. Step 5: Solve for x
    x = 45,721,166.40/9,708.80
  6. Step 6: Final answer
    x = 4,709.25

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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.