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Finding the Fourth Proportional to 9,807.20, 14,689.20 and 5,919.20

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Solution

The fourth proportional to 9,807.20, 14,689.20 and 5,919.20 is: 8,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.20 : 14,689.20 = 5,919.20 : x
  2. Step 2: Convert to fraction form
    9,807.20/14,689.20 = 5,919.20/x
  3. Step 3: Cross multiply
    9,807.20x = 14,689.20 × 5,919.20
  4. Step 4: Simplify right side
    9,807.20x = 86,948,312.64
  5. Step 5: Solve for x
    x = 86,948,312.64/9,807.20
  6. Step 6: Final answer
    x = 8,865.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.