Home / 1,347.79-2,017.83-977.92

Finding the Fourth Proportional to 1,347.79, 2,017.83 and 977.92

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Solution

The fourth proportional to 1,347.79, 2,017.83 and 977.92 is: 1,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.79 : 2,017.83 = 977.92 : x
  2. Step 2: Convert to fraction form
    1,347.79/2,017.83 = 977.92/x
  3. Step 3: Cross multiply
    1,347.79x = 2,017.83 × 977.92
  4. Step 4: Simplify right side
    1,347.79x = 1,973,276.31
  5. Step 5: Solve for x
    x = 1,973,276.31/1,347.79
  6. Step 6: Final answer
    x = 1,464.08

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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.