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Finding the Fourth Proportional to 1,781, 2,457.60 and 1,024.76

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Solution

The fourth proportional to 1,781, 2,457.60 and 1,024.76 is: 1,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781 : 2,457.60 = 1,024.76 : x
  2. Step 2: Convert to fraction form
    1,781/2,457.60 = 1,024.76/x
  3. Step 3: Cross multiply
    1,781x = 2,457.60 × 1,024.76
  4. Step 4: Simplify right side
    1,781x = 2,518,450.18
  5. Step 5: Solve for x
    x = 2,518,450.18/1,781
  6. Step 6: Final answer
    x = 1,414.07

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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.