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Finding the Fourth Proportional to 9,348.20, 12,900.30 and 5,811.20

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Solution

The fourth proportional to 9,348.20, 12,900.30 and 5,811.20 is: 8,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.20 : 12,900.30 = 5,811.20 : x
  2. Step 2: Convert to fraction form
    9,348.20/12,900.30 = 5,811.20/x
  3. Step 3: Cross multiply
    9,348.20x = 12,900.30 × 5,811.20
  4. Step 4: Simplify right side
    9,348.20x = 74,966,223.36
  5. Step 5: Solve for x
    x = 74,966,223.36/9,348.20
  6. Step 6: Final answer
    x = 8,019.32

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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.