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Finding the Fourth Proportional to 2,148, 3,220.47 and 977.42

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Solution

The fourth proportional to 2,148, 3,220.47 and 977.42 is: 1,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148 : 3,220.47 = 977.42 : x
  2. Step 2: Convert to fraction form
    2,148/3,220.47 = 977.42/x
  3. Step 3: Cross multiply
    2,148x = 3,220.47 × 977.42
  4. Step 4: Simplify right side
    2,148x = 3,147,751.79
  5. Step 5: Solve for x
    x = 3,147,751.79/2,148
  6. Step 6: Final answer
    x = 1,465.43

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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.