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Finding the Fourth Proportional to 31,400.48, 47,108 and 9,214.24

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Solution

The fourth proportional to 31,400.48, 47,108 and 9,214.24 is: 13,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.48 : 47,108 = 9,214.24 : x
  2. Step 2: Convert to fraction form
    31,400.48/47,108 = 9,214.24/x
  3. Step 3: Cross multiply
    31,400.48x = 47,108 × 9,214.24
  4. Step 4: Simplify right side
    31,400.48x = 434,064,417.92
  5. Step 5: Solve for x
    x = 434,064,417.92/31,400.48
  6. Step 6: Final answer
    x = 13,823.50

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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.