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Finding the Fourth Proportional to 13,697.10, 20,548.35 and 4,931.82

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Solution

The fourth proportional to 13,697.10, 20,548.35 and 4,931.82 is: 7,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.10 : 20,548.35 = 4,931.82 : x
  2. Step 2: Convert to fraction form
    13,697.10/20,548.35 = 4,931.82/x
  3. Step 3: Cross multiply
    13,697.10x = 20,548.35 × 4,931.82
  4. Step 4: Simplify right side
    13,697.10x = 101,340,763.50
  5. Step 5: Solve for x
    x = 101,340,763.50/13,697.10
  6. Step 6: Final answer
    x = 7,398.70

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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.