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Finding the Fourth Proportional to 5,210.91, 7,810.89 and 1,921.90

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Solution

The fourth proportional to 5,210.91, 7,810.89 and 1,921.90 is: 2,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.91 : 7,810.89 = 1,921.90 : x
  2. Step 2: Convert to fraction form
    5,210.91/7,810.89 = 1,921.90/x
  3. Step 3: Cross multiply
    5,210.91x = 7,810.89 × 1,921.90
  4. Step 4: Simplify right side
    5,210.91x = 15,011,749.49
  5. Step 5: Solve for x
    x = 15,011,749.49/5,210.91
  6. Step 6: Final answer
    x = 2,880.83

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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.