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Finding the Fourth Proportional to 2,140.83, 3,210.87 and 909.12

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Solution

The fourth proportional to 2,140.83, 3,210.87 and 909.12 is: 1,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.83 : 3,210.87 = 909.12 : x
  2. Step 2: Convert to fraction form
    2,140.83/3,210.87 = 909.12/x
  3. Step 3: Cross multiply
    2,140.83x = 3,210.87 × 909.12
  4. Step 4: Simplify right side
    2,140.83x = 2,919,066.13
  5. Step 5: Solve for x
    x = 2,919,066.13/2,140.83
  6. Step 6: Final answer
    x = 1,363.52

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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.