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Finding the Fourth Proportional to 2,017.21, 3,024.36 and 783.58

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Solution

The fourth proportional to 2,017.21, 3,024.36 and 783.58 is: 1,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.21 : 3,024.36 = 783.58 : x
  2. Step 2: Convert to fraction form
    2,017.21/3,024.36 = 783.58/x
  3. Step 3: Cross multiply
    2,017.21x = 3,024.36 × 783.58
  4. Step 4: Simplify right side
    2,017.21x = 2,369,828.01
  5. Step 5: Solve for x
    x = 2,369,828.01/2,017.21
  6. Step 6: Final answer
    x = 1,174.80

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1.5x scale

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.