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Finding the Fourth Proportional to 7,651, 10,576.07 and 6,384.70

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Solution

The fourth proportional to 7,651, 10,576.07 and 6,384.70 is: 8,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651 : 10,576.07 = 6,384.70 : x
  2. Step 2: Convert to fraction form
    7,651/10,576.07 = 6,384.70/x
  3. Step 3: Cross multiply
    7,651x = 10,576.07 × 6,384.70
  4. Step 4: Simplify right side
    7,651x = 67,525,034.13
  5. Step 5: Solve for x
    x = 67,525,034.13/7,651
  6. Step 6: Final answer
    x = 8,825.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.