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Finding the Fourth Proportional to 9,291.42, 12,813.89 and 7,247.84

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Solution

The fourth proportional to 9,291.42, 12,813.89 and 7,247.84 is: 9,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.42 : 12,813.89 = 7,247.84 : x
  2. Step 2: Convert to fraction form
    9,291.42/12,813.89 = 7,247.84/x
  3. Step 3: Cross multiply
    9,291.42x = 12,813.89 × 7,247.84
  4. Step 4: Simplify right side
    9,291.42x = 92,872,924.19
  5. Step 5: Solve for x
    x = 92,872,924.19/9,291.42
  6. Step 6: Final answer
    x = 9,995.56

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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.