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Finding the Fourth Proportional to 4,809.84, 7,214.76 and 1,347.09

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Solution

The fourth proportional to 4,809.84, 7,214.76 and 1,347.09 is: 2,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.84 : 7,214.76 = 1,347.09 : x
  2. Step 2: Convert to fraction form
    4,809.84/7,214.76 = 1,347.09/x
  3. Step 3: Cross multiply
    4,809.84x = 7,214.76 × 1,347.09
  4. Step 4: Simplify right side
    4,809.84x = 9,718,931.05
  5. Step 5: Solve for x
    x = 9,718,931.05/4,809.84
  6. Step 6: Final answer
    x = 2,020.64

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Similar ratio
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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.