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Finding the Fourth Proportional to 5,305, 7,320.24 and 2,946.84

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Solution

The fourth proportional to 5,305, 7,320.24 and 2,946.84 is: 4,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305 : 7,320.24 = 2,946.84 : x
  2. Step 2: Convert to fraction form
    5,305/7,320.24 = 2,946.84/x
  3. Step 3: Cross multiply
    5,305x = 7,320.24 × 2,946.84
  4. Step 4: Simplify right side
    5,305x = 21,571,576.04
  5. Step 5: Solve for x
    x = 21,571,576.04/5,305
  6. Step 6: Final answer
    x = 4,066.27

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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.