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Finding the Fourth Proportional to 19,965.20, 29,947.80 and 12,602.30

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Solution

The fourth proportional to 19,965.20, 29,947.80 and 12,602.30 is: 18,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.20 : 29,947.80 = 12,602.30 : x
  2. Step 2: Convert to fraction form
    19,965.20/29,947.80 = 12,602.30/x
  3. Step 3: Cross multiply
    19,965.20x = 29,947.80 × 12,602.30
  4. Step 4: Simplify right side
    19,965.20x = 377,411,159.94
  5. Step 5: Solve for x
    x = 377,411,159.94/19,965.20
  6. Step 6: Final answer
    x = 18,903.45

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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.