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Finding the Fourth Proportional to 5,322.78, 7,978.70 and 4,595.67

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Solution

The fourth proportional to 5,322.78, 7,978.70 and 4,595.67 is: 6,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.78 : 7,978.70 = 4,595.67 : x
  2. Step 2: Convert to fraction form
    5,322.78/7,978.70 = 4,595.67/x
  3. Step 3: Cross multiply
    5,322.78x = 7,978.70 × 4,595.67
  4. Step 4: Simplify right side
    5,322.78x = 36,667,483.72
  5. Step 5: Solve for x
    x = 36,667,483.72/5,322.78
  6. Step 6: Final answer
    x = 6,888.78

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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.