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Finding the Fourth Proportional to 1,854.67, 2,560.63 and 1,655.15

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Solution

The fourth proportional to 1,854.67, 2,560.63 and 1,655.15 is: 2,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.67 : 2,560.63 = 1,655.15 : x
  2. Step 2: Convert to fraction form
    1,854.67/2,560.63 = 1,655.15/x
  3. Step 3: Cross multiply
    1,854.67x = 2,560.63 × 1,655.15
  4. Step 4: Simplify right side
    1,854.67x = 4,238,243.12
  5. Step 5: Solve for x
    x = 4,238,243.12/1,854.67
  6. Step 6: Final answer
    x = 2,285.18

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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.