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Finding the Fourth Proportional to 7,642.12, 10,551.16 and 5,291.50

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Solution

The fourth proportional to 7,642.12, 10,551.16 and 5,291.50 is: 7,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.12 : 10,551.16 = 5,291.50 : x
  2. Step 2: Convert to fraction form
    7,642.12/10,551.16 = 5,291.50/x
  3. Step 3: Cross multiply
    7,642.12x = 10,551.16 × 5,291.50
  4. Step 4: Simplify right side
    7,642.12x = 55,831,463.14
  5. Step 5: Solve for x
    x = 55,831,463.14/7,642.12
  6. Step 6: Final answer
    x = 7,305.76

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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.