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Finding the Fourth Proportional to 7,138.78, 10,709.31 and 2,457.63

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Solution

The fourth proportional to 7,138.78, 10,709.31 and 2,457.63 is: 3,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.78 : 10,709.31 = 2,457.63 : x
  2. Step 2: Convert to fraction form
    7,138.78/10,709.31 = 2,457.63/x
  3. Step 3: Cross multiply
    7,138.78x = 10,709.31 × 2,457.63
  4. Step 4: Simplify right side
    7,138.78x = 26,319,521.54
  5. Step 5: Solve for x
    x = 26,319,521.54/7,138.78
  6. Step 6: Final answer
    x = 3,686.84

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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.