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Finding the Fourth Proportional to 7,300.13, 10,957.98 and 3,142.19

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Solution

The fourth proportional to 7,300.13, 10,957.98 and 3,142.19 is: 4,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.13 : 10,957.98 = 3,142.19 : x
  2. Step 2: Convert to fraction form
    7,300.13/10,957.98 = 3,142.19/x
  3. Step 3: Cross multiply
    7,300.13x = 10,957.98 × 3,142.19
  4. Step 4: Simplify right side
    7,300.13x = 34,432,094.35
  5. Step 5: Solve for x
    x = 34,432,094.35/7,300.13
  6. Step 6: Final answer
    x = 4,716.64

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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.