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Finding the Fourth Proportional to 13,889, 19,168.98 and 8,303.24

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Solution

The fourth proportional to 13,889, 19,168.98 and 8,303.24 is: 11,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889 : 19,168.98 = 8,303.24 : x
  2. Step 2: Convert to fraction form
    13,889/19,168.98 = 8,303.24/x
  3. Step 3: Cross multiply
    13,889x = 19,168.98 × 8,303.24
  4. Step 4: Simplify right side
    13,889x = 159,164,641.50
  5. Step 5: Solve for x
    x = 159,164,641.50/13,889
  6. Step 6: Final answer
    x = 11,459.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.