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Finding the Fourth Proportional to 10,188.96, 15,312.96 and 6,748.08

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Solution

The fourth proportional to 10,188.96, 15,312.96 and 6,748.08 is: 10,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.96 : 15,312.96 = 6,748.08 : x
  2. Step 2: Convert to fraction form
    10,188.96/15,312.96 = 6,748.08/x
  3. Step 3: Cross multiply
    10,188.96x = 15,312.96 × 6,748.08
  4. Step 4: Simplify right side
    10,188.96x = 103,333,079.12
  5. Step 5: Solve for x
    x = 103,333,079.12/10,188.96
  6. Step 6: Final answer
    x = 10,141.67

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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.