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Finding the Fourth Proportional to 13,752, 18,975.56 and 7,781.76

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Solution

The fourth proportional to 13,752, 18,975.56 and 7,781.76 is: 10,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752 : 18,975.56 = 7,781.76 : x
  2. Step 2: Convert to fraction form
    13,752/18,975.56 = 7,781.76/x
  3. Step 3: Cross multiply
    13,752x = 18,975.56 × 7,781.76
  4. Step 4: Simplify right side
    13,752x = 147,663,253.79
  5. Step 5: Solve for x
    x = 147,663,253.79/13,752
  6. Step 6: Final answer
    x = 10,737.58

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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.