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Finding the Fourth Proportional to 8,034.36, 12,041.28 and 6,990

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Solution

The fourth proportional to 8,034.36, 12,041.28 and 6,990 is: 10,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.36 : 12,041.28 = 6,990 : x
  2. Step 2: Convert to fraction form
    8,034.36/12,041.28 = 6,990/x
  3. Step 3: Cross multiply
    8,034.36x = 12,041.28 × 6,990
  4. Step 4: Simplify right side
    8,034.36x = 84,168,547.20
  5. Step 5: Solve for x
    x = 84,168,547.20/8,034.36
  6. Step 6: Final answer
    x = 10,476.07

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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.