Home / 1,277.24-1,916.28-929.96

Finding the Fourth Proportional to 1,277.24, 1,916.28 and 929.96

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Solution

The fourth proportional to 1,277.24, 1,916.28 and 929.96 is: 1,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.24 : 1,916.28 = 929.96 : x
  2. Step 2: Convert to fraction form
    1,277.24/1,916.28 = 929.96/x
  3. Step 3: Cross multiply
    1,277.24x = 1,916.28 × 929.96
  4. Step 4: Simplify right side
    1,277.24x = 1,782,063.75
  5. Step 5: Solve for x
    x = 1,782,063.75/1,277.24
  6. Step 6: Final answer
    x = 1,395.25

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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.