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Finding the Fourth Proportional to 2,709.92, 4,062.18 and 1,888.40

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Solution

The fourth proportional to 2,709.92, 4,062.18 and 1,888.40 is: 2,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.92 : 4,062.18 = 1,888.40 : x
  2. Step 2: Convert to fraction form
    2,709.92/4,062.18 = 1,888.40/x
  3. Step 3: Cross multiply
    2,709.92x = 4,062.18 × 1,888.40
  4. Step 4: Simplify right side
    2,709.92x = 7,671,020.71
  5. Step 5: Solve for x
    x = 7,671,020.71/2,709.92
  6. Step 6: Final answer
    x = 2,830.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.