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Finding the Fourth Proportional to 2,572.48, 3,856.24 and 1,954.40

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Solution

The fourth proportional to 2,572.48, 3,856.24 and 1,954.40 is: 2,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.48 : 3,856.24 = 1,954.40 : x
  2. Step 2: Convert to fraction form
    2,572.48/3,856.24 = 1,954.40/x
  3. Step 3: Cross multiply
    2,572.48x = 3,856.24 × 1,954.40
  4. Step 4: Simplify right side
    2,572.48x = 7,536,635.46
  5. Step 5: Solve for x
    x = 7,536,635.46/2,572.48
  6. Step 6: Final answer
    x = 2,929.72

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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.