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Finding the Fourth Proportional to 10,706.78, 14,781.81 and 6,987.26

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Solution

The fourth proportional to 10,706.78, 14,781.81 and 6,987.26 is: 9,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.78 : 14,781.81 = 6,987.26 : x
  2. Step 2: Convert to fraction form
    10,706.78/14,781.81 = 6,987.26/x
  3. Step 3: Cross multiply
    10,706.78x = 14,781.81 × 6,987.26
  4. Step 4: Simplify right side
    10,706.78x = 103,284,349.74
  5. Step 5: Solve for x
    x = 103,284,349.74/10,706.78
  6. Step 6: Final answer
    x = 9,646.63

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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.