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Finding the Fourth Proportional to 7,715.84, 10,636.80 and 5,504

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Solution

The fourth proportional to 7,715.84, 10,636.80 and 5,504 is: 7,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.84 : 10,636.80 = 5,504 : x
  2. Step 2: Convert to fraction form
    7,715.84/10,636.80 = 5,504/x
  3. Step 3: Cross multiply
    7,715.84x = 10,636.80 × 5,504
  4. Step 4: Simplify right side
    7,715.84x = 58,544,947.20
  5. Step 5: Solve for x
    x = 58,544,947.20/7,715.84
  6. Step 6: Final answer
    x = 7,587.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.