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Finding the Fourth Proportional to 8,913.24, 12,298.23 and 5,768.82

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Solution

The fourth proportional to 8,913.24, 12,298.23 and 5,768.82 is: 7,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.24 : 12,298.23 = 5,768.82 : x
  2. Step 2: Convert to fraction form
    8,913.24/12,298.23 = 5,768.82/x
  3. Step 3: Cross multiply
    8,913.24x = 12,298.23 × 5,768.82
  4. Step 4: Simplify right side
    8,913.24x = 70,946,275.19
  5. Step 5: Solve for x
    x = 70,946,275.19/8,913.24
  6. Step 6: Final answer
    x = 7,959.65

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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.