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Finding the Fourth Proportional to 9,671.46, 13,354.14 and 7,429.80

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Solution

The fourth proportional to 9,671.46, 13,354.14 and 7,429.80 is: 10,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.46 : 13,354.14 = 7,429.80 : x
  2. Step 2: Convert to fraction form
    9,671.46/13,354.14 = 7,429.80/x
  3. Step 3: Cross multiply
    9,671.46x = 13,354.14 × 7,429.80
  4. Step 4: Simplify right side
    9,671.46x = 99,218,589.37
  5. Step 5: Solve for x
    x = 99,218,589.37/9,671.46
  6. Step 6: Final answer
    x = 10,258.91

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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.