Home / 1,989.61-2,984.92-1,405.76

Finding the Fourth Proportional to 1,989.61, 2,984.92 and 1,405.76

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Solution

The fourth proportional to 1,989.61, 2,984.92 and 1,405.76 is: 2,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.61 : 2,984.92 = 1,405.76 : x
  2. Step 2: Convert to fraction form
    1,989.61/2,984.92 = 1,405.76/x
  3. Step 3: Cross multiply
    1,989.61x = 2,984.92 × 1,405.76
  4. Step 4: Simplify right side
    1,989.61x = 4,196,081.14
  5. Step 5: Solve for x
    x = 4,196,081.14/1,989.61
  6. Step 6: Final answer
    x = 2,109.00

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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.