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Finding the Fourth Proportional to 12,765.65, 17,616.29 and 7,100.41

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Solution

The fourth proportional to 12,765.65, 17,616.29 and 7,100.41 is: 9,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.65 : 17,616.29 = 7,100.41 : x
  2. Step 2: Convert to fraction form
    12,765.65/17,616.29 = 7,100.41/x
  3. Step 3: Cross multiply
    12,765.65x = 17,616.29 × 7,100.41
  4. Step 4: Simplify right side
    12,765.65x = 125,082,835.17
  5. Step 5: Solve for x
    x = 125,082,835.17/12,765.65
  6. Step 6: Final answer
    x = 9,798.39

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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.