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Finding the Fourth Proportional to 7,302.61, 10,071.57 and 4,912.84

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Solution

The fourth proportional to 7,302.61, 10,071.57 and 4,912.84 is: 6,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.61 : 10,071.57 = 4,912.84 : x
  2. Step 2: Convert to fraction form
    7,302.61/10,071.57 = 4,912.84/x
  3. Step 3: Cross multiply
    7,302.61x = 10,071.57 × 4,912.84
  4. Step 4: Simplify right side
    7,302.61x = 49,480,011.96
  5. Step 5: Solve for x
    x = 49,480,011.96/7,302.61
  6. Step 6: Final answer
    x = 6,775.66

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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.