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Finding the Fourth Proportional to 43,877.70, 65,784.15 and 18,897.30

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Solution

The fourth proportional to 43,877.70, 65,784.15 and 18,897.30 is: 28,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,877.70 : 65,784.15 = 18,897.30 : x
  2. Step 2: Convert to fraction form
    43,877.70/65,784.15 = 18,897.30/x
  3. Step 3: Cross multiply
    43,877.70x = 65,784.15 × 18,897.30
  4. Step 4: Simplify right side
    43,877.70x = 1,243,142,817.80
  5. Step 5: Solve for x
    x = 1,243,142,817.80/43,877.70
  6. Step 6: Final answer
    x = 28,332.00

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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.