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Finding the Fourth Proportional to 7,208.42, 9,953.25 and 5,640.98

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Solution

The fourth proportional to 7,208.42, 9,953.25 and 5,640.98 is: 7,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.42 : 9,953.25 = 5,640.98 : x
  2. Step 2: Convert to fraction form
    7,208.42/9,953.25 = 5,640.98/x
  3. Step 3: Cross multiply
    7,208.42x = 9,953.25 × 5,640.98
  4. Step 4: Simplify right side
    7,208.42x = 56,146,084.19
  5. Step 5: Solve for x
    x = 56,146,084.19/7,208.42
  6. Step 6: Final answer
    x = 7,788.96

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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.