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Finding the Fourth Proportional to 9,259.66, 12,778 and 5,282.04

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Solution

The fourth proportional to 9,259.66, 12,778 and 5,282.04 is: 7,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.66 : 12,778 = 5,282.04 : x
  2. Step 2: Convert to fraction form
    9,259.66/12,778 = 5,282.04/x
  3. Step 3: Cross multiply
    9,259.66x = 12,778 × 5,282.04
  4. Step 4: Simplify right side
    9,259.66x = 67,493,907.12
  5. Step 5: Solve for x
    x = 67,493,907.12/9,259.66
  6. Step 6: Final answer
    x = 7,289.03

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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.