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Finding the Fourth Proportional to 9,676.80, 14,509.80 and 4,129.20

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Solution

The fourth proportional to 9,676.80, 14,509.80 and 4,129.20 is: 6,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.80 : 14,509.80 = 4,129.20 : x
  2. Step 2: Convert to fraction form
    9,676.80/14,509.80 = 4,129.20/x
  3. Step 3: Cross multiply
    9,676.80x = 14,509.80 × 4,129.20
  4. Step 4: Simplify right side
    9,676.80x = 59,913,866.16
  5. Step 5: Solve for x
    x = 59,913,866.16/9,676.80
  6. Step 6: Final answer
    x = 6,191.50

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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.