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Finding the Fourth Proportional to 10,563.70, 15,845.55 and 6,408.40

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Solution

The fourth proportional to 10,563.70, 15,845.55 and 6,408.40 is: 9,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.70 : 15,845.55 = 6,408.40 : x
  2. Step 2: Convert to fraction form
    10,563.70/15,845.55 = 6,408.40/x
  3. Step 3: Cross multiply
    10,563.70x = 15,845.55 × 6,408.40
  4. Step 4: Simplify right side
    10,563.70x = 101,544,622.62
  5. Step 5: Solve for x
    x = 101,544,622.62/10,563.70
  6. Step 6: Final answer
    x = 9,612.60

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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.