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Finding the Fourth Proportional to 7,874.96, 11,719.48 and 7,612.48

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Solution

The fourth proportional to 7,874.96, 11,719.48 and 7,612.48 is: 11,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.96 : 11,719.48 = 7,612.48 : x
  2. Step 2: Convert to fraction form
    7,874.96/11,719.48 = 7,612.48/x
  3. Step 3: Cross multiply
    7,874.96x = 11,719.48 × 7,612.48
  4. Step 4: Simplify right side
    7,874.96x = 89,214,307.11
  5. Step 5: Solve for x
    x = 89,214,307.11/7,874.96
  6. Step 6: Final answer
    x = 11,328.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.