Home / 2,089.13-3,133.73-977.93

Finding the Fourth Proportional to 2,089.13, 3,133.73 and 977.93

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Solution

The fourth proportional to 2,089.13, 3,133.73 and 977.93 is: 1,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.13 : 3,133.73 = 977.93 : x
  2. Step 2: Convert to fraction form
    2,089.13/3,133.73 = 977.93/x
  3. Step 3: Cross multiply
    2,089.13x = 3,133.73 × 977.93
  4. Step 4: Simplify right side
    2,089.13x = 3,064,548.02
  5. Step 5: Solve for x
    x = 3,064,548.02/2,089.13
  6. Step 6: Final answer
    x = 1,466.91

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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.