Home / 1,419.17-1,957.41-977.22

Finding the Fourth Proportional to 1,419.17, 1,957.41 and 977.22

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Solution

The fourth proportional to 1,419.17, 1,957.41 and 977.22 is: 1,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.17 : 1,957.41 = 977.22 : x
  2. Step 2: Convert to fraction form
    1,419.17/1,957.41 = 977.22/x
  3. Step 3: Cross multiply
    1,419.17x = 1,957.41 × 977.22
  4. Step 4: Simplify right side
    1,419.17x = 1,912,809.19
  5. Step 5: Solve for x
    x = 1,912,809.19/1,419.17
  6. Step 6: Final answer
    x = 1,347.84

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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.