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Finding the Fourth Proportional to 1,536.60, 2,223.75 and 1,536.60

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Solution

The fourth proportional to 1,536.60, 2,223.75 and 1,536.60 is: 2,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.60 : 2,223.75 = 1,536.60 : x
  2. Step 2: Convert to fraction form
    1,536.60/2,223.75 = 1,536.60/x
  3. Step 3: Cross multiply
    1,536.60x = 2,223.75 × 1,536.60
  4. Step 4: Simplify right side
    1,536.60x = 3,417,014.25
  5. Step 5: Solve for x
    x = 3,417,014.25/1,536.60
  6. Step 6: Final answer
    x = 2,223.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.