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Finding the Fourth Proportional to 9,891.28, 14,830.62 and 4,958.20

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Solution

The fourth proportional to 9,891.28, 14,830.62 and 4,958.20 is: 7,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.28 : 14,830.62 = 4,958.20 : x
  2. Step 2: Convert to fraction form
    9,891.28/14,830.62 = 4,958.20/x
  3. Step 3: Cross multiply
    9,891.28x = 14,830.62 × 4,958.20
  4. Step 4: Simplify right side
    9,891.28x = 73,533,180.08
  5. Step 5: Solve for x
    x = 73,533,180.08/9,891.28
  6. Step 6: Final answer
    x = 7,434.14

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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.