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Finding the Fourth Proportional to 3,000.98, 4,140.86 and 1,742.18

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Solution

The fourth proportional to 3,000.98, 4,140.86 and 1,742.18 is: 2,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.98 : 4,140.86 = 1,742.18 : x
  2. Step 2: Convert to fraction form
    3,000.98/4,140.86 = 1,742.18/x
  3. Step 3: Cross multiply
    3,000.98x = 4,140.86 × 1,742.18
  4. Step 4: Simplify right side
    3,000.98x = 7,214,094.06
  5. Step 5: Solve for x
    x = 7,214,094.06/3,000.98
  6. Step 6: Final answer
    x = 2,403.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.