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Finding the Fourth Proportional to 7,351.70, 10,142.69 and 4,700.57

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Solution

The fourth proportional to 7,351.70, 10,142.69 and 4,700.57 is: 6,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.70 : 10,142.69 = 4,700.57 : x
  2. Step 2: Convert to fraction form
    7,351.70/10,142.69 = 4,700.57/x
  3. Step 3: Cross multiply
    7,351.70x = 10,142.69 × 4,700.57
  4. Step 4: Simplify right side
    7,351.70x = 47,676,350.12
  5. Step 5: Solve for x
    x = 47,676,350.12/7,351.70
  6. Step 6: Final answer
    x = 6,485.08

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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.