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Finding the Fourth Proportional to 2,681.66, 3,701.50 and 1,737.50

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Solution

The fourth proportional to 2,681.66, 3,701.50 and 1,737.50 is: 2,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.66 : 3,701.50 = 1,737.50 : x
  2. Step 2: Convert to fraction form
    2,681.66/3,701.50 = 1,737.50/x
  3. Step 3: Cross multiply
    2,681.66x = 3,701.50 × 1,737.50
  4. Step 4: Simplify right side
    2,681.66x = 6,431,354.22
  5. Step 5: Solve for x
    x = 6,431,354.22/2,681.66
  6. Step 6: Final answer
    x = 2,398.28

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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.