Home / 1,402-1,938.40-1,340.80

Finding the Fourth Proportional to 1,402, 1,938.40 and 1,340.80

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Solution

The fourth proportional to 1,402, 1,938.40 and 1,340.80 is: 1,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402 : 1,938.40 = 1,340.80 : x
  2. Step 2: Convert to fraction form
    1,402/1,938.40 = 1,340.80/x
  3. Step 3: Cross multiply
    1,402x = 1,938.40 × 1,340.80
  4. Step 4: Simplify right side
    1,402x = 2,599,006.72
  5. Step 5: Solve for x
    x = 2,599,006.72/1,402
  6. Step 6: Final answer
    x = 1,853.79

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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.