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Finding the Fourth Proportional to 7,839.68, 10,821.36 and 7,009.30

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Solution

The fourth proportional to 7,839.68, 10,821.36 and 7,009.30 is: 9,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.68 : 10,821.36 = 7,009.30 : x
  2. Step 2: Convert to fraction form
    7,839.68/10,821.36 = 7,009.30/x
  3. Step 3: Cross multiply
    7,839.68x = 10,821.36 × 7,009.30
  4. Step 4: Simplify right side
    7,839.68x = 75,850,158.65
  5. Step 5: Solve for x
    x = 75,850,158.65/7,839.68
  6. Step 6: Final answer
    x = 9,675.16

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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.