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Finding the Fourth Proportional to 1,572.90, 2,348.00 and 1,378.50

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Solution

The fourth proportional to 1,572.90, 2,348.00 and 1,378.50 is: 2,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.90 : 2,348.00 = 1,378.50 : x
  2. Step 2: Convert to fraction form
    1,572.90/2,348.00 = 1,378.50/x
  3. Step 3: Cross multiply
    1,572.90x = 2,348.00 × 1,378.50
  4. Step 4: Simplify right side
    1,572.90x = 3,236,711.11
  5. Step 5: Solve for x
    x = 3,236,711.11/1,572.90
  6. Step 6: Final answer
    x = 2,057.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.