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Finding the Fourth Proportional to 13,536, 18,678.48 and 7,565.76

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Solution

The fourth proportional to 13,536, 18,678.48 and 7,565.76 is: 10,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536 : 18,678.48 = 7,565.76 : x
  2. Step 2: Convert to fraction form
    13,536/18,678.48 = 7,565.76/x
  3. Step 3: Cross multiply
    13,536x = 18,678.48 × 7,565.76
  4. Step 4: Simplify right side
    13,536x = 141,316,896.84
  5. Step 5: Solve for x
    x = 141,316,896.84/13,536
  6. Step 6: Final answer
    x = 10,440.08

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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.