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Finding the Fourth Proportional to 9,920.90, 13,688.34 and 7,935.50

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Solution

The fourth proportional to 9,920.90, 13,688.34 and 7,935.50 is: 10,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.90 : 13,688.34 = 7,935.50 : x
  2. Step 2: Convert to fraction form
    9,920.90/13,688.34 = 7,935.50/x
  3. Step 3: Cross multiply
    9,920.90x = 13,688.34 × 7,935.50
  4. Step 4: Simplify right side
    9,920.90x = 108,623,822.07
  5. Step 5: Solve for x
    x = 108,623,822.07/9,920.90
  6. Step 6: Final answer
    x = 10,948.99

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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.