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Finding the Fourth Proportional to 2,230, 3,077.40 and 1,402

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Solution

The fourth proportional to 2,230, 3,077.40 and 1,402 is: 1,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230 : 3,077.40 = 1,402 : x
  2. Step 2: Convert to fraction form
    2,230/3,077.40 = 1,402/x
  3. Step 3: Cross multiply
    2,230x = 3,077.40 × 1,402
  4. Step 4: Simplify right side
    2,230x = 4,314,514.80
  5. Step 5: Solve for x
    x = 4,314,514.80/2,230
  6. Step 6: Final answer
    x = 1,934.76

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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.