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Finding the Fourth Proportional to 4,291.72, 5,922.16 and 2,403.20

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Solution

The fourth proportional to 4,291.72, 5,922.16 and 2,403.20 is: 3,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.72 : 5,922.16 = 2,403.20 : x
  2. Step 2: Convert to fraction form
    4,291.72/5,922.16 = 2,403.20/x
  3. Step 3: Cross multiply
    4,291.72x = 5,922.16 × 2,403.20
  4. Step 4: Simplify right side
    4,291.72x = 14,232,134.91
  5. Step 5: Solve for x
    x = 14,232,134.91/4,291.72
  6. Step 6: Final answer
    x = 3,316.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.