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Finding the Fourth Proportional to 13,749.95, 18,978.69 and 12,815.00

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Solution

The fourth proportional to 13,749.95, 18,978.69 and 12,815.00 is: 17,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.95 : 18,978.69 = 12,815.00 : x
  2. Step 2: Convert to fraction form
    13,749.95/18,978.69 = 12,815.00/x
  3. Step 3: Cross multiply
    13,749.95x = 18,978.69 × 12,815.00
  4. Step 4: Simplify right side
    13,749.95x = 243,211,971.35
  5. Step 5: Solve for x
    x = 243,211,971.35/13,749.95
  6. Step 6: Final answer
    x = 17,688.21

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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.