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Finding the Fourth Proportional to 7,760.29, 11,640.29 and 1,916.90

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Solution

The fourth proportional to 7,760.29, 11,640.29 and 1,916.90 is: 2,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.29 : 11,640.29 = 1,916.90 : x
  2. Step 2: Convert to fraction form
    7,760.29/11,640.29 = 1,916.90/x
  3. Step 3: Cross multiply
    7,760.29x = 11,640.29 × 1,916.90
  4. Step 4: Simplify right side
    7,760.29x = 22,313,262.32
  5. Step 5: Solve for x
    x = 22,313,262.32/7,760.29
  6. Step 6: Final answer
    x = 2,875.31

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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.