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Finding the Fourth Proportional to 2,432.10, 3,648.12 and 1,650.16

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Solution

The fourth proportional to 2,432.10, 3,648.12 and 1,650.16 is: 2,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.10 : 3,648.12 = 1,650.16 : x
  2. Step 2: Convert to fraction form
    2,432.10/3,648.12 = 1,650.16/x
  3. Step 3: Cross multiply
    2,432.10x = 3,648.12 × 1,650.16
  4. Step 4: Simplify right side
    2,432.10x = 6,019,973.45
  5. Step 5: Solve for x
    x = 6,019,973.45/2,432.10
  6. Step 6: Final answer
    x = 2,475.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.