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Finding the Fourth Proportional to 10,705.78, 14,780.43 and 6,986.26

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Solution

The fourth proportional to 10,705.78, 14,780.43 and 6,986.26 is: 9,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.78 : 14,780.43 = 6,986.26 : x
  2. Step 2: Convert to fraction form
    10,705.78/14,780.43 = 6,986.26/x
  3. Step 3: Cross multiply
    10,705.78x = 14,780.43 × 6,986.26
  4. Step 4: Simplify right side
    10,705.78x = 103,259,926.89
  5. Step 5: Solve for x
    x = 103,259,926.89/10,705.78
  6. Step 6: Final answer
    x = 9,645.25

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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.