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Finding the Fourth Proportional to 7,486.71, 10,256.78 and 7,206.32

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Solution

The fourth proportional to 7,486.71, 10,256.78 and 7,206.32 is: 9,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.71 : 10,256.78 = 7,206.32 : x
  2. Step 2: Convert to fraction form
    7,486.71/10,256.78 = 7,206.32/x
  3. Step 3: Cross multiply
    7,486.71x = 10,256.78 × 7,206.32
  4. Step 4: Simplify right side
    7,486.71x = 73,913,578.56
  5. Step 5: Solve for x
    x = 73,913,578.56/7,486.71
  6. Step 6: Final answer
    x = 9,872.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.