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Finding the Fourth Proportional to 7,357.06, 10,152.18 and 4,170.40

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Solution

The fourth proportional to 7,357.06, 10,152.18 and 4,170.40 is: 5,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.06 : 10,152.18 = 4,170.40 : x
  2. Step 2: Convert to fraction form
    7,357.06/10,152.18 = 4,170.40/x
  3. Step 3: Cross multiply
    7,357.06x = 10,152.18 × 4,170.40
  4. Step 4: Simplify right side
    7,357.06x = 42,338,651.47
  5. Step 5: Solve for x
    x = 42,338,651.47/7,357.06
  6. Step 6: Final answer
    x = 5,754.83

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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.