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Finding the Fourth Proportional to 1,536.38, 2,120.24 and 907.06

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Solution

The fourth proportional to 1,536.38, 2,120.24 and 907.06 is: 1,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.38 : 2,120.24 = 907.06 : x
  2. Step 2: Convert to fraction form
    1,536.38/2,120.24 = 907.06/x
  3. Step 3: Cross multiply
    1,536.38x = 2,120.24 × 907.06
  4. Step 4: Simplify right side
    1,536.38x = 1,923,184.89
  5. Step 5: Solve for x
    x = 1,923,184.89/1,536.38
  6. Step 6: Final answer
    x = 1,251.76

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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.