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Finding the Fourth Proportional to 9,201.50, 12,698.13 and 5,009.78

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Solution

The fourth proportional to 9,201.50, 12,698.13 and 5,009.78 is: 6,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.50 : 12,698.13 = 5,009.78 : x
  2. Step 2: Convert to fraction form
    9,201.50/12,698.13 = 5,009.78/x
  3. Step 3: Cross multiply
    9,201.50x = 12,698.13 × 5,009.78
  4. Step 4: Simplify right side
    9,201.50x = 63,614,837.71
  5. Step 5: Solve for x
    x = 63,614,837.71/9,201.50
  6. Step 6: Final answer
    x = 6,913.53

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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.