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Finding the Fourth Proportional to 1,916.48, 2,875.44 and 821.12

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Solution

The fourth proportional to 1,916.48, 2,875.44 and 821.12 is: 1,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.48 : 2,875.44 = 821.12 : x
  2. Step 2: Convert to fraction form
    1,916.48/2,875.44 = 821.12/x
  3. Step 3: Cross multiply
    1,916.48x = 2,875.44 × 821.12
  4. Step 4: Simplify right side
    1,916.48x = 2,361,081.29
  5. Step 5: Solve for x
    x = 2,361,081.29/1,916.48
  6. Step 6: Final answer
    x = 1,231.99

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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.