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Finding the Fourth Proportional to 7,715.17, 11,505.01 and 7,645

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Solution

The fourth proportional to 7,715.17, 11,505.01 and 7,645 is: 11,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.17 : 11,505.01 = 7,645 : x
  2. Step 2: Convert to fraction form
    7,715.17/11,505.01 = 7,645/x
  3. Step 3: Cross multiply
    7,715.17x = 11,505.01 × 7,645
  4. Step 4: Simplify right side
    7,715.17x = 87,955,801.45
  5. Step 5: Solve for x
    x = 87,955,801.45/7,715.17
  6. Step 6: Final answer
    x = 11,400.37

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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.