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Finding the Fourth Proportional to 1,916.53, 2,875.70 and 821.21

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Solution

The fourth proportional to 1,916.53, 2,875.70 and 821.21 is: 1,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.53 : 2,875.70 = 821.21 : x
  2. Step 2: Convert to fraction form
    1,916.53/2,875.70 = 821.21/x
  3. Step 3: Cross multiply
    1,916.53x = 2,875.70 × 821.21
  4. Step 4: Simplify right side
    1,916.53x = 2,361,541.27
  5. Step 5: Solve for x
    x = 2,361,541.27/1,916.53
  6. Step 6: Final answer
    x = 1,232.20

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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.