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Finding the Fourth Proportional to 2,095.90, 3,143.88 and 925.30

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Solution

The fourth proportional to 2,095.90, 3,143.88 and 925.30 is: 1,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.90 : 3,143.88 = 925.30 : x
  2. Step 2: Convert to fraction form
    2,095.90/3,143.88 = 925.30/x
  3. Step 3: Cross multiply
    2,095.90x = 3,143.88 × 925.30
  4. Step 4: Simplify right side
    2,095.90x = 2,909,032.16
  5. Step 5: Solve for x
    x = 2,909,032.16/2,095.90
  6. Step 6: Final answer
    x = 1,387.96

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1.5x scale

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.