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Finding the Fourth Proportional to 9,284.70, 12,814.02 and 5,304.90

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Solution

The fourth proportional to 9,284.70, 12,814.02 and 5,304.90 is: 7,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.70 : 12,814.02 = 5,304.90 : x
  2. Step 2: Convert to fraction form
    9,284.70/12,814.02 = 5,304.90/x
  3. Step 3: Cross multiply
    9,284.70x = 12,814.02 × 5,304.90
  4. Step 4: Simplify right side
    9,284.70x = 67,977,094.70
  5. Step 5: Solve for x
    x = 67,977,094.70/9,284.70
  6. Step 6: Final answer
    x = 7,321.41

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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.