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Finding the Fourth Proportional to 1,536.64, 2,305.02 and 1,307.12

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Solution

The fourth proportional to 1,536.64, 2,305.02 and 1,307.12 is: 1,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.64 : 2,305.02 = 1,307.12 : x
  2. Step 2: Convert to fraction form
    1,536.64/2,305.02 = 1,307.12/x
  3. Step 3: Cross multiply
    1,536.64x = 2,305.02 × 1,307.12
  4. Step 4: Simplify right side
    1,536.64x = 3,012,937.74
  5. Step 5: Solve for x
    x = 3,012,937.74/1,536.64
  6. Step 6: Final answer
    x = 1,960.73

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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.