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Finding the Fourth Proportional to 7,717.17, 11,507.99 and 7,647

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Solution

The fourth proportional to 7,717.17, 11,507.99 and 7,647 is: 11,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.17 : 11,507.99 = 7,647 : x
  2. Step 2: Convert to fraction form
    7,717.17/11,507.99 = 7,647/x
  3. Step 3: Cross multiply
    7,717.17x = 11,507.99 × 7,647
  4. Step 4: Simplify right side
    7,717.17x = 88,001,561.30
  5. Step 5: Solve for x
    x = 88,001,561.30/7,717.17
  6. Step 6: Final answer
    x = 11,403.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.