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Finding the Fourth Proportional to 7,447, 10,285.50 and 4,958.68

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Solution

The fourth proportional to 7,447, 10,285.50 and 4,958.68 is: 6,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447 : 10,285.50 = 4,958.68 : x
  2. Step 2: Convert to fraction form
    7,447/10,285.50 = 4,958.68/x
  3. Step 3: Cross multiply
    7,447x = 10,285.50 × 4,958.68
  4. Step 4: Simplify right side
    7,447x = 51,002,503.14
  5. Step 5: Solve for x
    x = 51,002,503.14/7,447
  6. Step 6: Final answer
    x = 6,848.73

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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.