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Finding the Fourth Proportional to 4,362.40, 6,543.30 and 1,400.80

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Solution

The fourth proportional to 4,362.40, 6,543.30 and 1,400.80 is: 2,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.40 : 6,543.30 = 1,400.80 : x
  2. Step 2: Convert to fraction form
    4,362.40/6,543.30 = 1,400.80/x
  3. Step 3: Cross multiply
    4,362.40x = 6,543.30 × 1,400.80
  4. Step 4: Simplify right side
    4,362.40x = 9,165,854.64
  5. Step 5: Solve for x
    x = 9,165,854.64/4,362.40
  6. Step 6: Final answer
    x = 2,101.10

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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.