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Finding the Fourth Proportional to 10,453, 14,425.14 and 6,263.68

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Solution

The fourth proportional to 10,453, 14,425.14 and 6,263.68 is: 8,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453 : 14,425.14 = 6,263.68 : x
  2. Step 2: Convert to fraction form
    10,453/14,425.14 = 6,263.68/x
  3. Step 3: Cross multiply
    10,453x = 14,425.14 × 6,263.68
  4. Step 4: Simplify right side
    10,453x = 90,354,460.92
  5. Step 5: Solve for x
    x = 90,354,460.92/10,453
  6. Step 6: Final answer
    x = 8,643.88

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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.