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Finding the Fourth Proportional to 15,697, 21,661.90 and 8,526.95

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Solution

The fourth proportional to 15,697, 21,661.90 and 8,526.95 is: 11,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697 : 21,661.90 = 8,526.95 : x
  2. Step 2: Convert to fraction form
    15,697/21,661.90 = 8,526.95/x
  3. Step 3: Cross multiply
    15,697x = 21,661.90 × 8,526.95
  4. Step 4: Simplify right side
    15,697x = 184,709,895.57
  5. Step 5: Solve for x
    x = 184,709,895.57/15,697
  6. Step 6: Final answer
    x = 11,767.21

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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.