Home / 1,536.40-2,305.32-1,510.48

Finding the Fourth Proportional to 1,536.40, 2,305.32 and 1,510.48

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Solution

The fourth proportional to 1,536.40, 2,305.32 and 1,510.48 is: 2,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.40 : 2,305.32 = 1,510.48 : x
  2. Step 2: Convert to fraction form
    1,536.40/2,305.32 = 1,510.48/x
  3. Step 3: Cross multiply
    1,536.40x = 2,305.32 × 1,510.48
  4. Step 4: Simplify right side
    1,536.40x = 3,482,139.75
  5. Step 5: Solve for x
    x = 3,482,139.75/1,536.40
  6. Step 6: Final answer
    x = 2,266.43

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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.