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Finding the Fourth Proportional to 37,781.84, 52,138.80 and 21,014.84

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Solution

The fourth proportional to 37,781.84, 52,138.80 and 21,014.84 is: 29,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,781.84 : 52,138.80 = 21,014.84 : x
  2. Step 2: Convert to fraction form
    37,781.84/52,138.80 = 21,014.84/x
  3. Step 3: Cross multiply
    37,781.84x = 52,138.80 × 21,014.84
  4. Step 4: Simplify right side
    37,781.84x = 1,095,688,539.79
  5. Step 5: Solve for x
    x = 1,095,688,539.79/37,781.84
  6. Step 6: Final answer
    x = 29,000.40

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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.