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Finding the Fourth Proportional to 2,685.90, 4,032.45 and 1,713.90

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Solution

The fourth proportional to 2,685.90, 4,032.45 and 1,713.90 is: 2,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.90 : 4,032.45 = 1,713.90 : x
  2. Step 2: Convert to fraction form
    2,685.90/4,032.45 = 1,713.90/x
  3. Step 3: Cross multiply
    2,685.90x = 4,032.45 × 1,713.90
  4. Step 4: Simplify right side
    2,685.90x = 6,911,216.06
  5. Step 5: Solve for x
    x = 6,911,216.06/2,685.90
  6. Step 6: Final answer
    x = 2,573.15

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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.