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Finding the Fourth Proportional to 10,009.74, 13,810.41 and 6,984.78

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Solution

The fourth proportional to 10,009.74, 13,810.41 and 6,984.78 is: 9,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.74 : 13,810.41 = 6,984.78 : x
  2. Step 2: Convert to fraction form
    10,009.74/13,810.41 = 6,984.78/x
  3. Step 3: Cross multiply
    10,009.74x = 13,810.41 × 6,984.78
  4. Step 4: Simplify right side
    10,009.74x = 96,462,675.56
  5. Step 5: Solve for x
    x = 96,462,675.56/10,009.74
  6. Step 6: Final answer
    x = 9,636.88

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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.