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Finding the Fourth Proportional to 10,970, 15,138.64 and 7,663.76

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Solution

The fourth proportional to 10,970, 15,138.64 and 7,663.76 is: 10,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970 : 15,138.64 = 7,663.76 : x
  2. Step 2: Convert to fraction form
    10,970/15,138.64 = 7,663.76/x
  3. Step 3: Cross multiply
    10,970x = 15,138.64 × 7,663.76
  4. Step 4: Simplify right side
    10,970x = 116,018,903.69
  5. Step 5: Solve for x
    x = 116,018,903.69/10,970
  6. Step 6: Final answer
    x = 10,576.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.