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Finding the Fourth Proportional to 2,140, 3,210.13 and 601.12

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Solution

The fourth proportional to 2,140, 3,210.13 and 601.12 is: 901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140 : 3,210.13 = 601.12 : x
  2. Step 2: Convert to fraction form
    2,140/3,210.13 = 601.12/x
  3. Step 3: Cross multiply
    2,140x = 3,210.13 × 601.12
  4. Step 4: Simplify right side
    2,140x = 1,929,673.35
  5. Step 5: Solve for x
    x = 1,929,673.35/2,140
  6. Step 6: Final answer
    x = 901.72

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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.