Home / 1,123.14-1,684.35-1,007.13

Finding the Fourth Proportional to 1,123.14, 1,684.35 and 1,007.13

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Solution

The fourth proportional to 1,123.14, 1,684.35 and 1,007.13 is: 1,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.14 : 1,684.35 = 1,007.13 : x
  2. Step 2: Convert to fraction form
    1,123.14/1,684.35 = 1,007.13/x
  3. Step 3: Cross multiply
    1,123.14x = 1,684.35 × 1,007.13
  4. Step 4: Simplify right side
    1,123.14x = 1,696,359.42
  5. Step 5: Solve for x
    x = 1,696,359.42/1,123.14
  6. Step 6: Final answer
    x = 1,510.37

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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.