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Finding the Fourth Proportional to 13,259.30, 19,888.74 and 5,462.64

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Solution

The fourth proportional to 13,259.30, 19,888.74 and 5,462.64 is: 8,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.30 : 19,888.74 = 5,462.64 : x
  2. Step 2: Convert to fraction form
    13,259.30/19,888.74 = 5,462.64/x
  3. Step 3: Cross multiply
    13,259.30x = 19,888.74 × 5,462.64
  4. Step 4: Simplify right side
    13,259.30x = 108,645,026.67
  5. Step 5: Solve for x
    x = 108,645,026.67/13,259.30
  6. Step 6: Final answer
    x = 8,193.88

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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.