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Finding the Fourth Proportional to 2,931.19, 4,045.04 and 1,604.90

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Solution

The fourth proportional to 2,931.19, 4,045.04 and 1,604.90 is: 2,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.19 : 4,045.04 = 1,604.90 : x
  2. Step 2: Convert to fraction form
    2,931.19/4,045.04 = 1,604.90/x
  3. Step 3: Cross multiply
    2,931.19x = 4,045.04 × 1,604.90
  4. Step 4: Simplify right side
    2,931.19x = 6,491,887.11
  5. Step 5: Solve for x
    x = 6,491,887.11/2,931.19
  6. Step 6: Final answer
    x = 2,214.76

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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.