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Finding the Fourth Proportional to 42,411, 63,616.50 and 13,227

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Solution

The fourth proportional to 42,411, 63,616.50 and 13,227 is: 19,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,411 : 63,616.50 = 13,227 : x
  2. Step 2: Convert to fraction form
    42,411/63,616.50 = 13,227/x
  3. Step 3: Cross multiply
    42,411x = 63,616.50 × 13,227
  4. Step 4: Simplify right side
    42,411x = 841,455,445.50
  5. Step 5: Solve for x
    x = 841,455,445.50/42,411
  6. Step 6: Final answer
    x = 19,840.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.