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Finding the Fourth Proportional to 15,323, 21,145.76 and 8,699

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Solution

The fourth proportional to 15,323, 21,145.76 and 8,699 is: 12,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323 : 21,145.76 = 8,699 : x
  2. Step 2: Convert to fraction form
    15,323/21,145.76 = 8,699/x
  3. Step 3: Cross multiply
    15,323x = 21,145.76 × 8,699
  4. Step 4: Simplify right side
    15,323x = 183,946,966.24
  5. Step 5: Solve for x
    x = 183,946,966.24/15,323
  6. Step 6: Final answer
    x = 12,004.63

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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.