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Finding the Fourth Proportional to 15,987.80, 23,965.48 and 7,655.60

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Solution

The fourth proportional to 15,987.80, 23,965.48 and 7,655.60 is: 11,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987.80 : 23,965.48 = 7,655.60 : x
  2. Step 2: Convert to fraction form
    15,987.80/23,965.48 = 7,655.60/x
  3. Step 3: Cross multiply
    15,987.80x = 23,965.48 × 7,655.60
  4. Step 4: Simplify right side
    15,987.80x = 183,470,128.69
  5. Step 5: Solve for x
    x = 183,470,128.69/15,987.80
  6. Step 6: Final answer
    x = 11,475.63

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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.