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Finding the Fourth Proportional to 12,354.90, 17,049.08 and 7,319.58

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Solution

The fourth proportional to 12,354.90, 17,049.08 and 7,319.58 is: 10,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.90 : 17,049.08 = 7,319.58 : x
  2. Step 2: Convert to fraction form
    12,354.90/17,049.08 = 7,319.58/x
  3. Step 3: Cross multiply
    12,354.90x = 17,049.08 × 7,319.58
  4. Step 4: Simplify right side
    12,354.90x = 124,792,155.25
  5. Step 5: Solve for x
    x = 124,792,155.25/12,354.90
  6. Step 6: Final answer
    x = 10,100.62

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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.