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Finding the Fourth Proportional to 10,642.48, 15,978.44 and 7,347.44

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Solution

The fourth proportional to 10,642.48, 15,978.44 and 7,347.44 is: 11,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.48 : 15,978.44 = 7,347.44 : x
  2. Step 2: Convert to fraction form
    10,642.48/15,978.44 = 7,347.44/x
  3. Step 3: Cross multiply
    10,642.48x = 15,978.44 × 7,347.44
  4. Step 4: Simplify right side
    10,642.48x = 117,400,629.19
  5. Step 5: Solve for x
    x = 117,400,629.19/10,642.48
  6. Step 6: Final answer
    x = 11,031.32

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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.