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Finding the Fourth Proportional to 5,309.31, 7,964.08 and 1,931.99

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Solution

The fourth proportional to 5,309.31, 7,964.08 and 1,931.99 is: 2,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.31 : 7,964.08 = 1,931.99 : x
  2. Step 2: Convert to fraction form
    5,309.31/7,964.08 = 1,931.99/x
  3. Step 3: Cross multiply
    5,309.31x = 7,964.08 × 1,931.99
  4. Step 4: Simplify right side
    5,309.31x = 15,386,473.44
  5. Step 5: Solve for x
    x = 15,386,473.44/5,309.31
  6. Step 6: Final answer
    x = 2,898.02

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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.