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Finding the Fourth Proportional to 5,239, 7,856.94 and 2,464.12

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Solution

The fourth proportional to 5,239, 7,856.94 and 2,464.12 is: 3,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239 : 7,856.94 = 2,464.12 : x
  2. Step 2: Convert to fraction form
    5,239/7,856.94 = 2,464.12/x
  3. Step 3: Cross multiply
    5,239x = 7,856.94 × 2,464.12
  4. Step 4: Simplify right side
    5,239x = 19,360,442.99
  5. Step 5: Solve for x
    x = 19,360,442.99/5,239
  6. Step 6: Final answer
    x = 3,695.45

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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.