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Finding the Fourth Proportional to 13,303.71, 18,362.32 and 7,997.50

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Solution

The fourth proportional to 13,303.71, 18,362.32 and 7,997.50 is: 11,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.71 : 18,362.32 = 7,997.50 : x
  2. Step 2: Convert to fraction form
    13,303.71/18,362.32 = 7,997.50/x
  3. Step 3: Cross multiply
    13,303.71x = 18,362.32 × 7,997.50
  4. Step 4: Simplify right side
    13,303.71x = 146,852,654.20
  5. Step 5: Solve for x
    x = 146,852,654.20/13,303.71
  6. Step 6: Final answer
    x = 11,038.47

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