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Finding the Fourth Proportional to 2,064, 3,097.12 and 1,038

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Solution

The fourth proportional to 2,064, 3,097.12 and 1,038 is: 1,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064 : 3,097.12 = 1,038 : x
  2. Step 2: Convert to fraction form
    2,064/3,097.12 = 1,038/x
  3. Step 3: Cross multiply
    2,064x = 3,097.12 × 1,038
  4. Step 4: Simplify right side
    2,064x = 3,214,810.56
  5. Step 5: Solve for x
    x = 3,214,810.56/2,064
  6. Step 6: Final answer
    x = 1,557.56

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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.