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Finding the Fourth Proportional to 14,768, 20,357.12 and 9,723.52

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Solution

The fourth proportional to 14,768, 20,357.12 and 9,723.52 is: 13,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768 : 20,357.12 = 9,723.52 : x
  2. Step 2: Convert to fraction form
    14,768/20,357.12 = 9,723.52/x
  3. Step 3: Cross multiply
    14,768x = 20,357.12 × 9,723.52
  4. Step 4: Simplify right side
    14,768x = 197,942,863.46
  5. Step 5: Solve for x
    x = 197,942,863.46/14,768
  6. Step 6: Final answer
    x = 13,403.50

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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.