Home / 1,536.42-2,119.19-947.28

Finding the Fourth Proportional to 1,536.42, 2,119.19 and 947.28

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Solution

The fourth proportional to 1,536.42, 2,119.19 and 947.28 is: 1,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.42 : 2,119.19 = 947.28 : x
  2. Step 2: Convert to fraction form
    1,536.42/2,119.19 = 947.28/x
  3. Step 3: Cross multiply
    1,536.42x = 2,119.19 × 947.28
  4. Step 4: Simplify right side
    1,536.42x = 2,007,461.57
  5. Step 5: Solve for x
    x = 2,007,461.57/1,536.42
  6. Step 6: Final answer
    x = 1,306.58

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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.