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Finding the Fourth Proportional to 11,483.84, 15,824.32 and 10,864

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Solution

The fourth proportional to 11,483.84, 15,824.32 and 10,864 is: 14,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.84 : 15,824.32 = 10,864 : x
  2. Step 2: Convert to fraction form
    11,483.84/15,824.32 = 10,864/x
  3. Step 3: Cross multiply
    11,483.84x = 15,824.32 × 10,864
  4. Step 4: Simplify right side
    11,483.84x = 171,915,412.48
  5. Step 5: Solve for x
    x = 171,915,412.48/11,483.84
  6. Step 6: Final answer
    x = 14,970.20

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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.