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Finding the Fourth Proportional to 15,720, 23,575.32 and 7,395.36

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Solution

The fourth proportional to 15,720, 23,575.32 and 7,395.36 is: 11,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720 : 23,575.32 = 7,395.36 : x
  2. Step 2: Convert to fraction form
    15,720/23,575.32 = 7,395.36/x
  3. Step 3: Cross multiply
    15,720x = 23,575.32 × 7,395.36
  4. Step 4: Simplify right side
    15,720x = 174,347,978.52
  5. Step 5: Solve for x
    x = 174,347,978.52/15,720
  6. Step 6: Final answer
    x = 11,090.84

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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.