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Finding the Fourth Proportional to 2,741.04, 4,111.60 and 689.04

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Solution

The fourth proportional to 2,741.04, 4,111.60 and 689.04 is: 1,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.04 : 4,111.60 = 689.04 : x
  2. Step 2: Convert to fraction form
    2,741.04/4,111.60 = 689.04/x
  3. Step 3: Cross multiply
    2,741.04x = 4,111.60 × 689.04
  4. Step 4: Simplify right side
    2,741.04x = 2,833,056.86
  5. Step 5: Solve for x
    x = 2,833,056.86/2,741.04
  6. Step 6: Final answer
    x = 1,033.57

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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.