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Finding the Fourth Proportional to 9,779.80, 14,664.30 and 4,232.20

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Solution

The fourth proportional to 9,779.80, 14,664.30 and 4,232.20 is: 6,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.80 : 14,664.30 = 4,232.20 : x
  2. Step 2: Convert to fraction form
    9,779.80/14,664.30 = 4,232.20/x
  3. Step 3: Cross multiply
    9,779.80x = 14,664.30 × 4,232.20
  4. Step 4: Simplify right side
    9,779.80x = 62,062,250.46
  5. Step 5: Solve for x
    x = 62,062,250.46/9,779.80
  6. Step 6: Final answer
    x = 6,345.96

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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.