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Finding the Fourth Proportional to 7,616.16, 11,412 and 5,658.48

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Solution

The fourth proportional to 7,616.16, 11,412 and 5,658.48 is: 8,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.16 : 11,412 = 5,658.48 : x
  2. Step 2: Convert to fraction form
    7,616.16/11,412 = 5,658.48/x
  3. Step 3: Cross multiply
    7,616.16x = 11,412 × 5,658.48
  4. Step 4: Simplify right side
    7,616.16x = 64,574,573.76
  5. Step 5: Solve for x
    x = 64,574,573.76/7,616.16
  6. Step 6: Final answer
    x = 8,478.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.