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Finding the Fourth Proportional to 2,890.76, 4,335.80 and 1,409.54

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Solution

The fourth proportional to 2,890.76, 4,335.80 and 1,409.54 is: 2,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.76 : 4,335.80 = 1,409.54 : x
  2. Step 2: Convert to fraction form
    2,890.76/4,335.80 = 1,409.54/x
  3. Step 3: Cross multiply
    2,890.76x = 4,335.80 × 1,409.54
  4. Step 4: Simplify right side
    2,890.76x = 6,111,454.81
  5. Step 5: Solve for x
    x = 6,111,454.81/2,890.76
  6. Step 6: Final answer
    x = 2,114.14

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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.