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Finding the Fourth Proportional to 2,807.70, 4,206.29 and 2,348.43

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Solution

The fourth proportional to 2,807.70, 4,206.29 and 2,348.43 is: 3,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.70 : 4,206.29 = 2,348.43 : x
  2. Step 2: Convert to fraction form
    2,807.70/4,206.29 = 2,348.43/x
  3. Step 3: Cross multiply
    2,807.70x = 4,206.29 × 2,348.43
  4. Step 4: Simplify right side
    2,807.70x = 9,878,165.88
  5. Step 5: Solve for x
    x = 9,878,165.88/2,807.70
  6. Step 6: Final answer
    x = 3,518.24

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1.5x scale

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.