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Finding the Fourth Proportional to 1,746.50, 2,410.76 and 1,083.92

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Solution

The fourth proportional to 1,746.50, 2,410.76 and 1,083.92 is: 1,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.50 : 2,410.76 = 1,083.92 : x
  2. Step 2: Convert to fraction form
    1,746.50/2,410.76 = 1,083.92/x
  3. Step 3: Cross multiply
    1,746.50x = 2,410.76 × 1,083.92
  4. Step 4: Simplify right side
    1,746.50x = 2,613,061.64
  5. Step 5: Solve for x
    x = 2,613,061.64/1,746.50
  6. Step 6: Final answer
    x = 1,496.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.