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Finding the Fourth Proportional to 15,603.16, 21,532.82 and 8,530

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Solution

The fourth proportional to 15,603.16, 21,532.82 and 8,530 is: 11,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,603.16 : 21,532.82 = 8,530 : x
  2. Step 2: Convert to fraction form
    15,603.16/21,532.82 = 8,530/x
  3. Step 3: Cross multiply
    15,603.16x = 21,532.82 × 8,530
  4. Step 4: Simplify right side
    15,603.16x = 183,674,954.60
  5. Step 5: Solve for x
    x = 183,674,954.60/15,603.16
  6. Step 6: Final answer
    x = 11,771.65

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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.