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Finding the Fourth Proportional to 31,856.66, 47,786.81 and 9,670.76

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Solution

The fourth proportional to 31,856.66, 47,786.81 and 9,670.76 is: 14,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.66 : 47,786.81 = 9,670.76 : x
  2. Step 2: Convert to fraction form
    31,856.66/47,786.81 = 9,670.76/x
  3. Step 3: Cross multiply
    31,856.66x = 47,786.81 × 9,670.76
  4. Step 4: Simplify right side
    31,856.66x = 462,134,483.39
  5. Step 5: Solve for x
    x = 462,134,483.39/31,856.66
  6. Step 6: Final answer
    x = 14,506.69

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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.