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Finding the Fourth Proportional to 10,438, 14,412 and 6,718.48

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Solution

The fourth proportional to 10,438, 14,412 and 6,718.48 is: 9,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438 : 14,412 = 6,718.48 : x
  2. Step 2: Convert to fraction form
    10,438/14,412 = 6,718.48/x
  3. Step 3: Cross multiply
    10,438x = 14,412 × 6,718.48
  4. Step 4: Simplify right side
    10,438x = 96,826,733.76
  5. Step 5: Solve for x
    x = 96,826,733.76/10,438
  6. Step 6: Final answer
    x = 9,276.37

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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.