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Finding the Fourth Proportional to 12,915, 19,375.38 and 4,707

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Solution

The fourth proportional to 12,915, 19,375.38 and 4,707 is: 7,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915 : 19,375.38 = 4,707 : x
  2. Step 2: Convert to fraction form
    12,915/19,375.38 = 4,707/x
  3. Step 3: Cross multiply
    12,915x = 19,375.38 × 4,707
  4. Step 4: Simplify right side
    12,915x = 91,199,913.66
  5. Step 5: Solve for x
    x = 91,199,913.66/12,915
  6. Step 6: Final answer
    x = 7,061.55

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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.