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Finding the Fourth Proportional to 15,762.30, 21,751.97 and 8,688.87

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Solution

The fourth proportional to 15,762.30, 21,751.97 and 8,688.87 is: 11,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.30 : 21,751.97 = 8,688.87 : x
  2. Step 2: Convert to fraction form
    15,762.30/21,751.97 = 8,688.87/x
  3. Step 3: Cross multiply
    15,762.30x = 21,751.97 × 8,688.87
  4. Step 4: Simplify right side
    15,762.30x = 189,000,072.23
  5. Step 5: Solve for x
    x = 189,000,072.23/15,762.30
  6. Step 6: Final answer
    x = 11,990.64

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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.