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Finding the Fourth Proportional to 2,656.90, 3,985.35 and 709.30

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Solution

The fourth proportional to 2,656.90, 3,985.35 and 709.30 is: 1,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.90 : 3,985.35 = 709.30 : x
  2. Step 2: Convert to fraction form
    2,656.90/3,985.35 = 709.30/x
  3. Step 3: Cross multiply
    2,656.90x = 3,985.35 × 709.30
  4. Step 4: Simplify right side
    2,656.90x = 2,826,808.76
  5. Step 5: Solve for x
    x = 2,826,808.76/2,656.90
  6. Step 6: Final answer
    x = 1,063.95

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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.