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Finding the Fourth Proportional to 1,916.78, 2,875.29 and 762.50

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Solution

The fourth proportional to 1,916.78, 2,875.29 and 762.50 is: 1,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.78 : 2,875.29 = 762.50 : x
  2. Step 2: Convert to fraction form
    1,916.78/2,875.29 = 762.50/x
  3. Step 3: Cross multiply
    1,916.78x = 2,875.29 × 762.50
  4. Step 4: Simplify right side
    1,916.78x = 2,192,408.63
  5. Step 5: Solve for x
    x = 2,192,408.63/1,916.78
  6. Step 6: Final answer
    x = 1,143.80

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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.