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Finding the Fourth Proportional to 2,134.72, 2,946.06 and 1,348.72

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Solution

The fourth proportional to 2,134.72, 2,946.06 and 1,348.72 is: 1,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.72 : 2,946.06 = 1,348.72 : x
  2. Step 2: Convert to fraction form
    2,134.72/2,946.06 = 1,348.72/x
  3. Step 3: Cross multiply
    2,134.72x = 2,946.06 × 1,348.72
  4. Step 4: Simplify right side
    2,134.72x = 3,973,410.04
  5. Step 5: Solve for x
    x = 3,973,410.04/2,134.72
  6. Step 6: Final answer
    x = 1,861.33

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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.