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Finding the Fourth Proportional to 9,167.78, 13,743.44 and 4,788.32

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Solution

The fourth proportional to 9,167.78, 13,743.44 and 4,788.32 is: 7,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.78 : 13,743.44 = 4,788.32 : x
  2. Step 2: Convert to fraction form
    9,167.78/13,743.44 = 4,788.32/x
  3. Step 3: Cross multiply
    9,167.78x = 13,743.44 × 4,788.32
  4. Step 4: Simplify right side
    9,167.78x = 65,807,988.62
  5. Step 5: Solve for x
    x = 65,807,988.62/9,167.78
  6. Step 6: Final answer
    x = 7,178.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.