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Finding the Fourth Proportional to 13,368, 18,448.23 and 7,400.22

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Solution

The fourth proportional to 13,368, 18,448.23 and 7,400.22 is: 10,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368 : 18,448.23 = 7,400.22 : x
  2. Step 2: Convert to fraction form
    13,368/18,448.23 = 7,400.22/x
  3. Step 3: Cross multiply
    13,368x = 18,448.23 × 7,400.22
  4. Step 4: Simplify right side
    13,368x = 136,520,960.61
  5. Step 5: Solve for x
    x = 136,520,960.61/13,368
  6. Step 6: Final answer
    x = 10,212.52

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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.