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Finding the Fourth Proportional to 2,926.97, 4,389.09 and 977.81

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Solution

The fourth proportional to 2,926.97, 4,389.09 and 977.81 is: 1,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.97 : 4,389.09 = 977.81 : x
  2. Step 2: Convert to fraction form
    2,926.97/4,389.09 = 977.81/x
  3. Step 3: Cross multiply
    2,926.97x = 4,389.09 × 977.81
  4. Step 4: Simplify right side
    2,926.97x = 4,291,670.48
  5. Step 5: Solve for x
    x = 4,291,670.48/2,926.97
  6. Step 6: Final answer
    x = 1,466.25

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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.