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Finding the Fourth Proportional to 9,319.31, 13,981.27 and 7,656.24

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Solution

The fourth proportional to 9,319.31, 13,981.27 and 7,656.24 is: 11,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.31 : 13,981.27 = 7,656.24 : x
  2. Step 2: Convert to fraction form
    9,319.31/13,981.27 = 7,656.24/x
  3. Step 3: Cross multiply
    9,319.31x = 13,981.27 × 7,656.24
  4. Step 4: Simplify right side
    9,319.31x = 107,043,958.62
  5. Step 5: Solve for x
    x = 107,043,958.62/9,319.31
  6. Step 6: Final answer
    x = 11,486.25

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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.