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Finding the Fourth Proportional to 7,212.34, 9,950.76 and 5,695.12

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Solution

The fourth proportional to 7,212.34, 9,950.76 and 5,695.12 is: 7,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.34 : 9,950.76 = 5,695.12 : x
  2. Step 2: Convert to fraction form
    7,212.34/9,950.76 = 5,695.12/x
  3. Step 3: Cross multiply
    7,212.34x = 9,950.76 × 5,695.12
  4. Step 4: Simplify right side
    7,212.34x = 56,670,772.29
  5. Step 5: Solve for x
    x = 56,670,772.29/7,212.34
  6. Step 6: Final answer
    x = 7,857.47

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Half scale
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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.