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Finding the Fourth Proportional to 7,110, 9,812.88 and 4,314.96

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Solution

The fourth proportional to 7,110, 9,812.88 and 4,314.96 is: 5,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110 : 9,812.88 = 4,314.96 : x
  2. Step 2: Convert to fraction form
    7,110/9,812.88 = 4,314.96/x
  3. Step 3: Cross multiply
    7,110x = 9,812.88 × 4,314.96
  4. Step 4: Simplify right side
    7,110x = 42,342,184.68
  5. Step 5: Solve for x
    x = 42,342,184.68/7,110
  6. Step 6: Final answer
    x = 5,955.30

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Why These Related Problems?

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