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Finding the Fourth Proportional to 15,651.78, 23,477.76 and 7,858.86

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Solution

The fourth proportional to 15,651.78, 23,477.76 and 7,858.86 is: 11,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,651.78 : 23,477.76 = 7,858.86 : x
  2. Step 2: Convert to fraction form
    15,651.78/23,477.76 = 7,858.86/x
  3. Step 3: Cross multiply
    15,651.78x = 23,477.76 × 7,858.86
  4. Step 4: Simplify right side
    15,651.78x = 184,508,428.95
  5. Step 5: Solve for x
    x = 184,508,428.95/15,651.78
  6. Step 6: Final answer
    x = 11,788.34

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1.5x scale

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.