Home / 1,536.08-2,120.08-946.48

Finding the Fourth Proportional to 1,536.08, 2,120.08 and 946.48

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Solution

The fourth proportional to 1,536.08, 2,120.08 and 946.48 is: 1,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.08 : 2,120.08 = 946.48 : x
  2. Step 2: Convert to fraction form
    1,536.08/2,120.08 = 946.48/x
  3. Step 3: Cross multiply
    1,536.08x = 2,120.08 × 946.48
  4. Step 4: Simplify right side
    1,536.08x = 2,006,613.32
  5. Step 5: Solve for x
    x = 2,006,613.32/1,536.08
  6. Step 6: Final answer
    x = 1,306.32

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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.