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Finding the Fourth Proportional to 7,114.22, 9,816.45 and 3,970.40

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Solution

The fourth proportional to 7,114.22, 9,816.45 and 3,970.40 is: 5,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.22 : 9,816.45 = 3,970.40 : x
  2. Step 2: Convert to fraction form
    7,114.22/9,816.45 = 3,970.40/x
  3. Step 3: Cross multiply
    7,114.22x = 9,816.45 × 3,970.40
  4. Step 4: Simplify right side
    7,114.22x = 38,975,233.08
  5. Step 5: Solve for x
    x = 38,975,233.08/7,114.22
  6. Step 6: Final answer
    x = 5,478.50

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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.