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Finding the Fourth Proportional to 10,071, 15,106.50 and 3,915

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Solution

The fourth proportional to 10,071, 15,106.50 and 3,915 is: 5,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071 : 15,106.50 = 3,915 : x
  2. Step 2: Convert to fraction form
    10,071/15,106.50 = 3,915/x
  3. Step 3: Cross multiply
    10,071x = 15,106.50 × 3,915
  4. Step 4: Simplify right side
    10,071x = 59,141,947.50
  5. Step 5: Solve for x
    x = 59,141,947.50/10,071
  6. Step 6: Final answer
    x = 5,872.50

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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.