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Finding the Fourth Proportional to 4,017.67, 6,027.12 and 1,420

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Solution

The fourth proportional to 4,017.67, 6,027.12 and 1,420 is: 2,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.67 : 6,027.12 = 1,420 : x
  2. Step 2: Convert to fraction form
    4,017.67/6,027.12 = 1,420/x
  3. Step 3: Cross multiply
    4,017.67x = 6,027.12 × 1,420
  4. Step 4: Simplify right side
    4,017.67x = 8,558,510.40
  5. Step 5: Solve for x
    x = 8,558,510.40/4,017.67
  6. Step 6: Final answer
    x = 2,130.22

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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.