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Finding the Fourth Proportional to 13,534, 18,678.72 and 7,945

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Solution

The fourth proportional to 13,534, 18,678.72 and 7,945 is: 10,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534 : 18,678.72 = 7,945 : x
  2. Step 2: Convert to fraction form
    13,534/18,678.72 = 7,945/x
  3. Step 3: Cross multiply
    13,534x = 18,678.72 × 7,945
  4. Step 4: Simplify right side
    13,534x = 148,402,430.40
  5. Step 5: Solve for x
    x = 148,402,430.40/13,534
  6. Step 6: Final answer
    x = 10,965.16

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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.