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Finding the Fourth Proportional to 1,934.19, 2,897.45 and 892.76

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Solution

The fourth proportional to 1,934.19, 2,897.45 and 892.76 is: 1,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.19 : 2,897.45 = 892.76 : x
  2. Step 2: Convert to fraction form
    1,934.19/2,897.45 = 892.76/x
  3. Step 3: Cross multiply
    1,934.19x = 2,897.45 × 892.76
  4. Step 4: Simplify right side
    1,934.19x = 2,586,711.86
  5. Step 5: Solve for x
    x = 2,586,711.86/1,934.19
  6. Step 6: Final answer
    x = 1,337.36

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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.