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Finding the Fourth Proportional to 7,102.49, 9,805.66 and 4,715.82

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Solution

The fourth proportional to 7,102.49, 9,805.66 and 4,715.82 is: 6,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.49 : 9,805.66 = 4,715.82 : x
  2. Step 2: Convert to fraction form
    7,102.49/9,805.66 = 4,715.82/x
  3. Step 3: Cross multiply
    7,102.49x = 9,805.66 × 4,715.82
  4. Step 4: Simplify right side
    7,102.49x = 46,241,715.75
  5. Step 5: Solve for x
    x = 46,241,715.75/7,102.49
  6. Step 6: Final answer
    x = 6,510.64

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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.