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Finding the Fourth Proportional to 10,663.40, 15,975.90 and 9,127.40

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Solution

The fourth proportional to 10,663.40, 15,975.90 and 9,127.40 is: 13,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.40 : 15,975.90 = 9,127.40 : x
  2. Step 2: Convert to fraction form
    10,663.40/15,975.90 = 9,127.40/x
  3. Step 3: Cross multiply
    10,663.40x = 15,975.90 × 9,127.40
  4. Step 4: Simplify right side
    10,663.40x = 145,818,429.66
  5. Step 5: Solve for x
    x = 145,818,429.66/10,663.40
  6. Step 6: Final answer
    x = 13,674.67

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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.