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Finding the Fourth Proportional to 9,877.51, 13,630.07 and 5,629.26

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Solution

The fourth proportional to 9,877.51, 13,630.07 and 5,629.26 is: 7,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.51 : 13,630.07 = 5,629.26 : x
  2. Step 2: Convert to fraction form
    9,877.51/13,630.07 = 5,629.26/x
  3. Step 3: Cross multiply
    9,877.51x = 13,630.07 × 5,629.26
  4. Step 4: Simplify right side
    9,877.51x = 76,727,273.03
  5. Step 5: Solve for x
    x = 76,727,273.03/9,877.51
  6. Step 6: Final answer
    x = 7,767.88

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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.