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Finding the Fourth Proportional to 2,984.02, 4,118.10 and 1,657.78

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Solution

The fourth proportional to 2,984.02, 4,118.10 and 1,657.78 is: 2,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.02 : 4,118.10 = 1,657.78 : x
  2. Step 2: Convert to fraction form
    2,984.02/4,118.10 = 1,657.78/x
  3. Step 3: Cross multiply
    2,984.02x = 4,118.10 × 1,657.78
  4. Step 4: Simplify right side
    2,984.02x = 6,826,903.82
  5. Step 5: Solve for x
    x = 6,826,903.82/2,984.02
  6. Step 6: Final answer
    x = 2,287.82

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1.5x scale

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.