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Finding the Fourth Proportional to 1,985.70, 2,734.04 and 1,686.32

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Solution

The fourth proportional to 1,985.70, 2,734.04 and 1,686.32 is: 2,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.70 : 2,734.04 = 1,686.32 : x
  2. Step 2: Convert to fraction form
    1,985.70/2,734.04 = 1,686.32/x
  3. Step 3: Cross multiply
    1,985.70x = 2,734.04 × 1,686.32
  4. Step 4: Simplify right side
    1,985.70x = 4,610,464.74
  5. Step 5: Solve for x
    x = 4,610,464.74/1,985.70
  6. Step 6: Final answer
    x = 2,321.83

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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.