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Finding the Fourth Proportional to 7,114.50, 9,818.28 and 4,321.62

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Solution

The fourth proportional to 7,114.50, 9,818.28 and 4,321.62 is: 5,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.50 : 9,818.28 = 4,321.62 : x
  2. Step 2: Convert to fraction form
    7,114.50/9,818.28 = 4,321.62/x
  3. Step 3: Cross multiply
    7,114.50x = 9,818.28 × 4,321.62
  4. Step 4: Simplify right side
    7,114.50x = 42,430,875.21
  5. Step 5: Solve for x
    x = 42,430,875.21/7,114.50
  6. Step 6: Final answer
    x = 5,964.00

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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.