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Finding the Fourth Proportional to 10,757.52, 14,837.16 and 7,783.20

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Solution

The fourth proportional to 10,757.52, 14,837.16 and 7,783.20 is: 10,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.52 : 14,837.16 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    10,757.52/14,837.16 = 7,783.20/x
  3. Step 3: Cross multiply
    10,757.52x = 14,837.16 × 7,783.20
  4. Step 4: Simplify right side
    10,757.52x = 115,480,668.54
  5. Step 5: Solve for x
    x = 115,480,668.54/10,757.52
  6. Step 6: Final answer
    x = 10,734.87

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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.