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Finding the Fourth Proportional to 7,467.60, 10,309.72 and 6,637.20

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Solution

The fourth proportional to 7,467.60, 10,309.72 and 6,637.20 is: 9,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.60 : 10,309.72 = 6,637.20 : x
  2. Step 2: Convert to fraction form
    7,467.60/10,309.72 = 6,637.20/x
  3. Step 3: Cross multiply
    7,467.60x = 10,309.72 × 6,637.20
  4. Step 4: Simplify right side
    7,467.60x = 68,427,673.58
  5. Step 5: Solve for x
    x = 68,427,673.58/7,467.60
  6. Step 6: Final answer
    x = 9,163.28

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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.