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Finding the Fourth Proportional to 10,657.74, 14,701.16 and 7,072.88

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Solution

The fourth proportional to 10,657.74, 14,701.16 and 7,072.88 is: 9,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.74 : 14,701.16 = 7,072.88 : x
  2. Step 2: Convert to fraction form
    10,657.74/14,701.16 = 7,072.88/x
  3. Step 3: Cross multiply
    10,657.74x = 14,701.16 × 7,072.88
  4. Step 4: Simplify right side
    10,657.74x = 103,979,540.54
  5. Step 5: Solve for x
    x = 103,979,540.54/10,657.74
  6. Step 6: Final answer
    x = 9,756.25

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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.