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Finding the Fourth Proportional to 2,316.42, 3,490.74 and 2,097.12

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Solution

The fourth proportional to 2,316.42, 3,490.74 and 2,097.12 is: 3,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.42 : 3,490.74 = 2,097.12 : x
  2. Step 2: Convert to fraction form
    2,316.42/3,490.74 = 2,097.12/x
  3. Step 3: Cross multiply
    2,316.42x = 3,490.74 × 2,097.12
  4. Step 4: Simplify right side
    2,316.42x = 7,320,500.67
  5. Step 5: Solve for x
    x = 7,320,500.67/2,316.42
  6. Step 6: Final answer
    x = 3,160.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.