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Finding the Fourth Proportional to 37,648.50, 51,954.93 and 20,881.50

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Solution

The fourth proportional to 37,648.50, 51,954.93 and 20,881.50 is: 28,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.50 : 51,954.93 = 20,881.50 : x
  2. Step 2: Convert to fraction form
    37,648.50/51,954.93 = 20,881.50/x
  3. Step 3: Cross multiply
    37,648.50x = 51,954.93 × 20,881.50
  4. Step 4: Simplify right side
    37,648.50x = 1,084,896,870.80
  5. Step 5: Solve for x
    x = 1,084,896,870.80/37,648.50
  6. Step 6: Final answer
    x = 28,816.47

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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.