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Finding the Fourth Proportional to 1,859.95, 2,567.46 and 1,663.12

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Solution

The fourth proportional to 1,859.95, 2,567.46 and 1,663.12 is: 2,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.95 : 2,567.46 = 1,663.12 : x
  2. Step 2: Convert to fraction form
    1,859.95/2,567.46 = 1,663.12/x
  3. Step 3: Cross multiply
    1,859.95x = 2,567.46 × 1,663.12
  4. Step 4: Simplify right side
    1,859.95x = 4,269,994.08
  5. Step 5: Solve for x
    x = 4,269,994.08/1,859.95
  6. Step 6: Final answer
    x = 2,295.76

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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.