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Finding the Fourth Proportional to 1,096.19, 1,510.08 and 938.31

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Solution

The fourth proportional to 1,096.19, 1,510.08 and 938.31 is: 1,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.19 : 1,510.08 = 938.31 : x
  2. Step 2: Convert to fraction form
    1,096.19/1,510.08 = 938.31/x
  3. Step 3: Cross multiply
    1,096.19x = 1,510.08 × 938.31
  4. Step 4: Simplify right side
    1,096.19x = 1,416,923.16
  5. Step 5: Solve for x
    x = 1,416,923.16/1,096.19
  6. Step 6: Final answer
    x = 1,292.59

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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.