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Finding the Fourth Proportional to 2,984.68, 4,117.86 and 1,805.32

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Solution

The fourth proportional to 2,984.68, 4,117.86 and 1,805.32 is: 2,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.68 : 4,117.86 = 1,805.32 : x
  2. Step 2: Convert to fraction form
    2,984.68/4,117.86 = 1,805.32/x
  3. Step 3: Cross multiply
    2,984.68x = 4,117.86 × 1,805.32
  4. Step 4: Simplify right side
    2,984.68x = 7,434,055.02
  5. Step 5: Solve for x
    x = 7,434,055.02/2,984.68
  6. Step 6: Final answer
    x = 2,490.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.