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Finding the Fourth Proportional to 7,149.21, 9,865.89 and 4,354.71

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Solution

The fourth proportional to 7,149.21, 9,865.89 and 4,354.71 is: 6,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.21 : 9,865.89 = 4,354.71 : x
  2. Step 2: Convert to fraction form
    7,149.21/9,865.89 = 4,354.71/x
  3. Step 3: Cross multiply
    7,149.21x = 9,865.89 × 4,354.71
  4. Step 4: Simplify right side
    7,149.21x = 42,963,089.84
  5. Step 5: Solve for x
    x = 42,963,089.84/7,149.21
  6. Step 6: Final answer
    x = 6,009.49

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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.