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Finding the Fourth Proportional to 7,148.35, 9,865.25 and 4,316.41

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Solution

The fourth proportional to 7,148.35, 9,865.25 and 4,316.41 is: 5,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.35 : 9,865.25 = 4,316.41 : x
  2. Step 2: Convert to fraction form
    7,148.35/9,865.25 = 4,316.41/x
  3. Step 3: Cross multiply
    7,148.35x = 9,865.25 × 4,316.41
  4. Step 4: Simplify right side
    7,148.35x = 42,582,463.75
  5. Step 5: Solve for x
    x = 42,582,463.75/7,148.35
  6. Step 6: Final answer
    x = 5,956.96

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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.