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Finding the Fourth Proportional to 1,916.76, 2,876.21 and 1,457.39

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Solution

The fourth proportional to 1,916.76, 2,876.21 and 1,457.39 is: 2,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.76 : 2,876.21 = 1,457.39 : x
  2. Step 2: Convert to fraction form
    1,916.76/2,876.21 = 1,457.39/x
  3. Step 3: Cross multiply
    1,916.76x = 2,876.21 × 1,457.39
  4. Step 4: Simplify right side
    1,916.76x = 4,191,765.06
  5. Step 5: Solve for x
    x = 4,191,765.06/1,916.76
  6. Step 6: Final answer
    x = 2,186.90

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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.