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Finding the Fourth Proportional to 1,741.92, 2,613.12 and 1,420.08

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Solution

The fourth proportional to 1,741.92, 2,613.12 and 1,420.08 is: 2,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.92 : 2,613.12 = 1,420.08 : x
  2. Step 2: Convert to fraction form
    1,741.92/2,613.12 = 1,420.08/x
  3. Step 3: Cross multiply
    1,741.92x = 2,613.12 × 1,420.08
  4. Step 4: Simplify right side
    1,741.92x = 3,710,839.45
  5. Step 5: Solve for x
    x = 3,710,839.45/1,741.92
  6. Step 6: Final answer
    x = 2,130.32

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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.