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Finding the Fourth Proportional to 13,252.50, 19,864.14 and 8,561.40

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Solution

The fourth proportional to 13,252.50, 19,864.14 and 8,561.40 is: 12,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.50 : 19,864.14 = 8,561.40 : x
  2. Step 2: Convert to fraction form
    13,252.50/19,864.14 = 8,561.40/x
  3. Step 3: Cross multiply
    13,252.50x = 19,864.14 × 8,561.40
  4. Step 4: Simplify right side
    13,252.50x = 170,064,848.20
  5. Step 5: Solve for x
    x = 170,064,848.20/13,252.50
  6. Step 6: Final answer
    x = 12,832.66

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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.