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Finding the Fourth Proportional to 14,681.52, 20,249.20 and 9,899.68

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Solution

The fourth proportional to 14,681.52, 20,249.20 and 9,899.68 is: 13,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.52 : 20,249.20 = 9,899.68 : x
  2. Step 2: Convert to fraction form
    14,681.52/20,249.20 = 9,899.68/x
  3. Step 3: Cross multiply
    14,681.52x = 20,249.20 × 9,899.68
  4. Step 4: Simplify right side
    14,681.52x = 200,460,600.26
  5. Step 5: Solve for x
    x = 200,460,600.26/14,681.52
  6. Step 6: Final answer
    x = 13,653.94

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1.5x scale

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.