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Finding the Fourth Proportional to 13,336, 18,403.68 and 7,448

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Solution

The fourth proportional to 13,336, 18,403.68 and 7,448 is: 10,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336 : 18,403.68 = 7,448 : x
  2. Step 2: Convert to fraction form
    13,336/18,403.68 = 7,448/x
  3. Step 3: Cross multiply
    13,336x = 18,403.68 × 7,448
  4. Step 4: Simplify right side
    13,336x = 137,070,608.64
  5. Step 5: Solve for x
    x = 137,070,608.64/13,336
  6. Step 6: Final answer
    x = 10,278.24

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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.