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Finding the Fourth Proportional to 2,922.60, 4,030.20 and 2,292

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Solution

The fourth proportional to 2,922.60, 4,030.20 and 2,292 is: 3,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.60 : 4,030.20 = 2,292 : x
  2. Step 2: Convert to fraction form
    2,922.60/4,030.20 = 2,292/x
  3. Step 3: Cross multiply
    2,922.60x = 4,030.20 × 2,292
  4. Step 4: Simplify right side
    2,922.60x = 9,237,218.40
  5. Step 5: Solve for x
    x = 9,237,218.40/2,922.60
  6. Step 6: Final answer
    x = 3,160.62

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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.