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Finding the Fourth Proportional to 37,810.50, 52,178.52 and 21,895.80

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Solution

The fourth proportional to 37,810.50, 52,178.52 and 21,895.80 is: 30,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,810.50 : 52,178.52 = 21,895.80 : x
  2. Step 2: Convert to fraction form
    37,810.50/52,178.52 = 21,895.80/x
  3. Step 3: Cross multiply
    37,810.50x = 52,178.52 × 21,895.80
  4. Step 4: Simplify right side
    37,810.50x = 1,142,490,438.22
  5. Step 5: Solve for x
    x = 1,142,490,438.22/37,810.50
  6. Step 6: Final answer
    x = 30,216.22

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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.