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Finding the Fourth Proportional to 1,718.61, 2,587.23 and 1,540

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Solution

The fourth proportional to 1,718.61, 2,587.23 and 1,540 is: 2,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.61 : 2,587.23 = 1,540 : x
  2. Step 2: Convert to fraction form
    1,718.61/2,587.23 = 1,540/x
  3. Step 3: Cross multiply
    1,718.61x = 2,587.23 × 1,540
  4. Step 4: Simplify right side
    1,718.61x = 3,984,334.20
  5. Step 5: Solve for x
    x = 3,984,334.20/1,718.61
  6. Step 6: Final answer
    x = 2,318.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.