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Finding the Fourth Proportional to 6,328.80, 9,487.80 and 2,432.16

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Solution

The fourth proportional to 6,328.80, 9,487.80 and 2,432.16 is: 3,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.80 : 9,487.80 = 2,432.16 : x
  2. Step 2: Convert to fraction form
    6,328.80/9,487.80 = 2,432.16/x
  3. Step 3: Cross multiply
    6,328.80x = 9,487.80 × 2,432.16
  4. Step 4: Simplify right side
    6,328.80x = 23,075,847.65
  5. Step 5: Solve for x
    x = 23,075,847.65/6,328.80
  6. Step 6: Final answer
    x = 3,646.16

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1.5x scale

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.