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Finding the Fourth Proportional to 9,428.77, 13,011.78 and 5,894.07

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Solution

The fourth proportional to 9,428.77, 13,011.78 and 5,894.07 is: 8,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.77 : 13,011.78 = 5,894.07 : x
  2. Step 2: Convert to fraction form
    9,428.77/13,011.78 = 5,894.07/x
  3. Step 3: Cross multiply
    9,428.77x = 13,011.78 × 5,894.07
  4. Step 4: Simplify right side
    9,428.77x = 76,692,342.14
  5. Step 5: Solve for x
    x = 76,692,342.14/9,428.77
  6. Step 6: Final answer
    x = 8,133.86

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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.