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Finding the Fourth Proportional to 7,109.32, 10,663.74 and 1,915

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Solution

The fourth proportional to 7,109.32, 10,663.74 and 1,915 is: 2,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.32 : 10,663.74 = 1,915 : x
  2. Step 2: Convert to fraction form
    7,109.32/10,663.74 = 1,915/x
  3. Step 3: Cross multiply
    7,109.32x = 10,663.74 × 1,915
  4. Step 4: Simplify right side
    7,109.32x = 20,421,062.10
  5. Step 5: Solve for x
    x = 20,421,062.10/7,109.32
  6. Step 6: Final answer
    x = 2,872.44

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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.