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Finding the Fourth Proportional to 15,771.51, 21,762.81 and 8,696.52

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Solution

The fourth proportional to 15,771.51, 21,762.81 and 8,696.52 is: 12,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.51 : 21,762.81 = 8,696.52 : x
  2. Step 2: Convert to fraction form
    15,771.51/21,762.81 = 8,696.52/x
  3. Step 3: Cross multiply
    15,771.51x = 21,762.81 × 8,696.52
  4. Step 4: Simplify right side
    15,771.51x = 189,260,712.42
  5. Step 5: Solve for x
    x = 189,260,712.42/15,771.51
  6. Step 6: Final answer
    x = 12,000.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.