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Finding the Fourth Proportional to 4,362.12, 6,543.12 and 1,075.20

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Solution

The fourth proportional to 4,362.12, 6,543.12 and 1,075.20 is: 1,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.12 : 6,543.12 = 1,075.20 : x
  2. Step 2: Convert to fraction form
    4,362.12/6,543.12 = 1,075.20/x
  3. Step 3: Cross multiply
    4,362.12x = 6,543.12 × 1,075.20
  4. Step 4: Simplify right side
    4,362.12x = 7,035,162.62
  5. Step 5: Solve for x
    x = 7,035,162.62/4,362.12
  6. Step 6: Final answer
    x = 1,612.79

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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.