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Finding the Fourth Proportional to 12,765.31, 17,616.51 and 7,730.45

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Solution

The fourth proportional to 12,765.31, 17,616.51 and 7,730.45 is: 10,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.31 : 17,616.51 = 7,730.45 : x
  2. Step 2: Convert to fraction form
    12,765.31/17,616.51 = 7,730.45/x
  3. Step 3: Cross multiply
    12,765.31x = 17,616.51 × 7,730.45
  4. Step 4: Simplify right side
    12,765.31x = 136,183,549.73
  5. Step 5: Solve for x
    x = 136,183,549.73/12,765.31
  6. Step 6: Final answer
    x = 10,668.25

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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.