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Finding the Fourth Proportional to 10,920.12, 15,065.02 and 6,939.10

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Solution

The fourth proportional to 10,920.12, 15,065.02 and 6,939.10 is: 9,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.12 : 15,065.02 = 6,939.10 : x
  2. Step 2: Convert to fraction form
    10,920.12/15,065.02 = 6,939.10/x
  3. Step 3: Cross multiply
    10,920.12x = 15,065.02 × 6,939.10
  4. Step 4: Simplify right side
    10,920.12x = 104,537,623.05
  5. Step 5: Solve for x
    x = 104,537,623.05/10,920.12
  6. Step 6: Final answer
    x = 9,572.94

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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.