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Finding the Fourth Proportional to 10,080, 15,117.12 and 4,237.92

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Solution

The fourth proportional to 10,080, 15,117.12 and 4,237.92 is: 6,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 15,117.12 = 4,237.92 : x
  2. Step 2: Convert to fraction form
    10,080/15,117.12 = 4,237.92/x
  3. Step 3: Cross multiply
    10,080x = 15,117.12 × 4,237.92
  4. Step 4: Simplify right side
    10,080x = 64,065,145.19
  5. Step 5: Solve for x
    x = 64,065,145.19/10,080
  6. Step 6: Final answer
    x = 6,355.67

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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.