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Finding the Fourth Proportional to 2,985.99, 4,120.63 and 1,659.68

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Solution

The fourth proportional to 2,985.99, 4,120.63 and 1,659.68 is: 2,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.99 : 4,120.63 = 1,659.68 : x
  2. Step 2: Convert to fraction form
    2,985.99/4,120.63 = 1,659.68/x
  3. Step 3: Cross multiply
    2,985.99x = 4,120.63 × 1,659.68
  4. Step 4: Simplify right side
    2,985.99x = 6,838,927.20
  5. Step 5: Solve for x
    x = 6,838,927.20/2,985.99
  6. Step 6: Final answer
    x = 2,290.34

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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.