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Finding the Fourth Proportional to 31,843.02, 47,762.81 and 13,122.71

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Solution

The fourth proportional to 31,843.02, 47,762.81 and 13,122.71 is: 19,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.02 : 47,762.81 = 13,122.71 : x
  2. Step 2: Convert to fraction form
    31,843.02/47,762.81 = 13,122.71/x
  3. Step 3: Cross multiply
    31,843.02x = 47,762.81 × 13,122.71
  4. Step 4: Simplify right side
    31,843.02x = 626,777,199.99
  5. Step 5: Solve for x
    x = 626,777,199.99/31,843.02
  6. Step 6: Final answer
    x = 19,683.35

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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.