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Finding the Fourth Proportional to 7,680.65, 11,510.15 and 6,113.69

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Solution

The fourth proportional to 7,680.65, 11,510.15 and 6,113.69 is: 9,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.65 : 11,510.15 = 6,113.69 : x
  2. Step 2: Convert to fraction form
    7,680.65/11,510.15 = 6,113.69/x
  3. Step 3: Cross multiply
    7,680.65x = 11,510.15 × 6,113.69
  4. Step 4: Simplify right side
    7,680.65x = 70,369,431.40
  5. Step 5: Solve for x
    x = 70,369,431.40/7,680.65
  6. Step 6: Final answer
    x = 9,161.91

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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.