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Finding the Fourth Proportional to 1,695.60, 2,311.20 and 1,695.60

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Solution

The fourth proportional to 1,695.60, 2,311.20 and 1,695.60 is: 2,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.60 : 2,311.20 = 1,695.60 : x
  2. Step 2: Convert to fraction form
    1,695.60/2,311.20 = 1,695.60/x
  3. Step 3: Cross multiply
    1,695.60x = 2,311.20 × 1,695.60
  4. Step 4: Simplify right side
    1,695.60x = 3,918,870.72
  5. Step 5: Solve for x
    x = 3,918,870.72/1,695.60
  6. Step 6: Final answer
    x = 2,311.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.