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Finding the Fourth Proportional to 3,898.73, 5,848.11 and 977.02

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Solution

The fourth proportional to 3,898.73, 5,848.11 and 977.02 is: 1,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.73 : 5,848.11 = 977.02 : x
  2. Step 2: Convert to fraction form
    3,898.73/5,848.11 = 977.02/x
  3. Step 3: Cross multiply
    3,898.73x = 5,848.11 × 977.02
  4. Step 4: Simplify right side
    3,898.73x = 5,713,705.81
  5. Step 5: Solve for x
    x = 5,713,705.81/3,898.73
  6. Step 6: Final answer
    x = 1,465.53

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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.