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Finding the Fourth Proportional to 14,115.44, 19,478.76 and 7,827.68

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Solution

The fourth proportional to 14,115.44, 19,478.76 and 7,827.68 is: 10,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.44 : 19,478.76 = 7,827.68 : x
  2. Step 2: Convert to fraction form
    14,115.44/19,478.76 = 7,827.68/x
  3. Step 3: Cross multiply
    14,115.44x = 19,478.76 × 7,827.68
  4. Step 4: Simplify right side
    14,115.44x = 152,473,500.08
  5. Step 5: Solve for x
    x = 152,473,500.08/14,115.44
  6. Step 6: Final answer
    x = 10,801.89

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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.