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Finding the Fourth Proportional to 19,552, 26,981.76 and 11,168.68

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Solution

The fourth proportional to 19,552, 26,981.76 and 11,168.68 is: 15,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,552 : 26,981.76 = 11,168.68 : x
  2. Step 2: Convert to fraction form
    19,552/26,981.76 = 11,168.68/x
  3. Step 3: Cross multiply
    19,552x = 26,981.76 × 11,168.68
  4. Step 4: Simplify right side
    19,552x = 301,350,643.28
  5. Step 5: Solve for x
    x = 301,350,643.28/19,552
  6. Step 6: Final answer
    x = 15,412.78

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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.