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Finding the Fourth Proportional to 7,221.61, 10,827.74 and 4,748.93

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Solution

The fourth proportional to 7,221.61, 10,827.74 and 4,748.93 is: 7,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.61 : 10,827.74 = 4,748.93 : x
  2. Step 2: Convert to fraction form
    7,221.61/10,827.74 = 4,748.93/x
  3. Step 3: Cross multiply
    7,221.61x = 10,827.74 × 4,748.93
  4. Step 4: Simplify right side
    7,221.61x = 51,420,101.43
  5. Step 5: Solve for x
    x = 51,420,101.43/7,221.61
  6. Step 6: Final answer
    x = 7,120.31

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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.