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Finding the Fourth Proportional to 5,138.58, 7,715.14 and 4,903.68

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Solution

The fourth proportional to 5,138.58, 7,715.14 and 4,903.68 is: 7,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.58 : 7,715.14 = 4,903.68 : x
  2. Step 2: Convert to fraction form
    5,138.58/7,715.14 = 4,903.68/x
  3. Step 3: Cross multiply
    5,138.58x = 7,715.14 × 4,903.68
  4. Step 4: Simplify right side
    5,138.58x = 37,832,577.72
  5. Step 5: Solve for x
    x = 37,832,577.72/5,138.58
  6. Step 6: Final answer
    x = 7,362.46

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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.