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Finding the Fourth Proportional to 15,777.69, 23,662.45 and 4,681.86

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Solution

The fourth proportional to 15,777.69, 23,662.45 and 4,681.86 is: 7,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.69 : 23,662.45 = 4,681.86 : x
  2. Step 2: Convert to fraction form
    15,777.69/23,662.45 = 4,681.86/x
  3. Step 3: Cross multiply
    15,777.69x = 23,662.45 × 4,681.86
  4. Step 4: Simplify right side
    15,777.69x = 110,784,278.16
  5. Step 5: Solve for x
    x = 110,784,278.16/15,777.69
  6. Step 6: Final answer
    x = 7,021.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.