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Finding the Fourth Proportional to 7,719.18, 11,510.96 and 7,649

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Solution

The fourth proportional to 7,719.18, 11,510.96 and 7,649 is: 11,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.18 : 11,510.96 = 7,649 : x
  2. Step 2: Convert to fraction form
    7,719.18/11,510.96 = 7,649/x
  3. Step 3: Cross multiply
    7,719.18x = 11,510.96 × 7,649
  4. Step 4: Simplify right side
    7,719.18x = 88,047,333.04
  5. Step 5: Solve for x
    x = 88,047,333.04/7,719.18
  6. Step 6: Final answer
    x = 11,406.31

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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.