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Finding the Fourth Proportional to 5,325.78, 7,353 and 3,438.21

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Solution

The fourth proportional to 5,325.78, 7,353 and 3,438.21 is: 4,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.78 : 7,353 = 3,438.21 : x
  2. Step 2: Convert to fraction form
    5,325.78/7,353 = 3,438.21/x
  3. Step 3: Cross multiply
    5,325.78x = 7,353 × 3,438.21
  4. Step 4: Simplify right side
    5,325.78x = 25,281,158.13
  5. Step 5: Solve for x
    x = 25,281,158.13/5,325.78
  6. Step 6: Final answer
    x = 4,746.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.