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Finding the Fourth Proportional to 2,587.52, 3,880.52 and 1,126.32

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Solution

The fourth proportional to 2,587.52, 3,880.52 and 1,126.32 is: 1,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.52 : 3,880.52 = 1,126.32 : x
  2. Step 2: Convert to fraction form
    2,587.52/3,880.52 = 1,126.32/x
  3. Step 3: Cross multiply
    2,587.52x = 3,880.52 × 1,126.32
  4. Step 4: Simplify right side
    2,587.52x = 4,370,707.29
  5. Step 5: Solve for x
    x = 4,370,707.29/2,587.52
  6. Step 6: Final answer
    x = 1,689.15

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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.