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Finding the Fourth Proportional to 12,765.66, 17,612.31 and 7,457.46

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Solution

The fourth proportional to 12,765.66, 17,612.31 and 7,457.46 is: 10,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.66 : 17,612.31 = 7,457.46 : x
  2. Step 2: Convert to fraction form
    12,765.66/17,612.31 = 7,457.46/x
  3. Step 3: Cross multiply
    12,765.66x = 17,612.31 × 7,457.46
  4. Step 4: Simplify right side
    12,765.66x = 131,343,097.33
  5. Step 5: Solve for x
    x = 131,343,097.33/12,765.66
  6. Step 6: Final answer
    x = 10,288.78

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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.