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Finding the Fourth Proportional to 7,504.48, 10,357.02 and 5,638.24

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Solution

The fourth proportional to 7,504.48, 10,357.02 and 5,638.24 is: 7,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.48 : 10,357.02 = 5,638.24 : x
  2. Step 2: Convert to fraction form
    7,504.48/10,357.02 = 5,638.24/x
  3. Step 3: Cross multiply
    7,504.48x = 10,357.02 × 5,638.24
  4. Step 4: Simplify right side
    7,504.48x = 58,395,364.44
  5. Step 5: Solve for x
    x = 58,395,364.44/7,504.48
  6. Step 6: Final answer
    x = 7,781.40

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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.