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Finding the Fourth Proportional to 9,688.20, 13,372.62 and 5,656.20

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Solution

The fourth proportional to 9,688.20, 13,372.62 and 5,656.20 is: 7,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.20 : 13,372.62 = 5,656.20 : x
  2. Step 2: Convert to fraction form
    9,688.20/13,372.62 = 5,656.20/x
  3. Step 3: Cross multiply
    9,688.20x = 13,372.62 × 5,656.20
  4. Step 4: Simplify right side
    9,688.20x = 75,638,213.24
  5. Step 5: Solve for x
    x = 75,638,213.24/9,688.20
  6. Step 6: Final answer
    x = 7,807.25

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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.