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Finding the Fourth Proportional to 1,916.27, 2,875.77 and 821.42

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Solution

The fourth proportional to 1,916.27, 2,875.77 and 821.42 is: 1,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.27 : 2,875.77 = 821.42 : x
  2. Step 2: Convert to fraction form
    1,916.27/2,875.77 = 821.42/x
  3. Step 3: Cross multiply
    1,916.27x = 2,875.77 × 821.42
  4. Step 4: Simplify right side
    1,916.27x = 2,362,214.99
  5. Step 5: Solve for x
    x = 2,362,214.99/1,916.27
  6. Step 6: Final answer
    x = 1,232.72

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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.