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Finding the Fourth Proportional to 2,983.68, 4,485.12 and 2,830.08

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Solution

The fourth proportional to 2,983.68, 4,485.12 and 2,830.08 is: 4,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.68 : 4,485.12 = 2,830.08 : x
  2. Step 2: Convert to fraction form
    2,983.68/4,485.12 = 2,830.08/x
  3. Step 3: Cross multiply
    2,983.68x = 4,485.12 × 2,830.08
  4. Step 4: Simplify right side
    2,983.68x = 12,693,248.41
  5. Step 5: Solve for x
    x = 12,693,248.41/2,983.68
  6. Step 6: Final answer
    x = 4,254.23

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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.