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Finding the Fourth Proportional to 2,020.48, 3,029.76 and 652.16

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Solution

The fourth proportional to 2,020.48, 3,029.76 and 652.16 is: 977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.48 : 3,029.76 = 652.16 : x
  2. Step 2: Convert to fraction form
    2,020.48/3,029.76 = 652.16/x
  3. Step 3: Cross multiply
    2,020.48x = 3,029.76 × 652.16
  4. Step 4: Simplify right side
    2,020.48x = 1,975,888.28
  5. Step 5: Solve for x
    x = 1,975,888.28/2,020.48
  6. Step 6: Final answer
    x = 977.93

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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.