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Finding the Fourth Proportional to 12,763.66, 17,622.42 and 9,774.16

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Solution

The fourth proportional to 12,763.66, 17,622.42 and 9,774.16 is: 13,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.66 : 17,622.42 = 9,774.16 : x
  2. Step 2: Convert to fraction form
    12,763.66/17,622.42 = 9,774.16/x
  3. Step 3: Cross multiply
    12,763.66x = 17,622.42 × 9,774.16
  4. Step 4: Simplify right side
    12,763.66x = 172,244,352.67
  5. Step 5: Solve for x
    x = 172,244,352.67/12,763.66
  6. Step 6: Final answer
    x = 13,494.90

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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.