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Finding the Fourth Proportional to 13,474.32, 18,595.32 and 7,505.76

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Solution

The fourth proportional to 13,474.32, 18,595.32 and 7,505.76 is: 10,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.32 : 18,595.32 = 7,505.76 : x
  2. Step 2: Convert to fraction form
    13,474.32/18,595.32 = 7,505.76/x
  3. Step 3: Cross multiply
    13,474.32x = 18,595.32 × 7,505.76
  4. Step 4: Simplify right side
    13,474.32x = 139,572,009.04
  5. Step 5: Solve for x
    x = 139,572,009.04/13,474.32
  6. Step 6: Final answer
    x = 10,358.37

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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.