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Finding the Fourth Proportional to 7,712.16, 10,648 and 5,064.08

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Solution

The fourth proportional to 7,712.16, 10,648 and 5,064.08 is: 6,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.16 : 10,648 = 5,064.08 : x
  2. Step 2: Convert to fraction form
    7,712.16/10,648 = 5,064.08/x
  3. Step 3: Cross multiply
    7,712.16x = 10,648 × 5,064.08
  4. Step 4: Simplify right side
    7,712.16x = 53,922,323.84
  5. Step 5: Solve for x
    x = 53,922,323.84/7,712.16
  6. Step 6: Final answer
    x = 6,991.86

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Why These Related Problems?

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