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Finding the Fourth Proportional to 7,378.34, 11,071.98 and 4,747.52

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Solution

The fourth proportional to 7,378.34, 11,071.98 and 4,747.52 is: 7,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.34 : 11,071.98 = 4,747.52 : x
  2. Step 2: Convert to fraction form
    7,378.34/11,071.98 = 4,747.52/x
  3. Step 3: Cross multiply
    7,378.34x = 11,071.98 × 4,747.52
  4. Step 4: Simplify right side
    7,378.34x = 52,564,446.49
  5. Step 5: Solve for x
    x = 52,564,446.49/7,378.34
  6. Step 6: Final answer
    x = 7,124.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.