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Finding the Fourth Proportional to 15,638.58, 21,581.16 and 8,564.94

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Solution

The fourth proportional to 15,638.58, 21,581.16 and 8,564.94 is: 11,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.58 : 21,581.16 = 8,564.94 : x
  2. Step 2: Convert to fraction form
    15,638.58/21,581.16 = 8,564.94/x
  3. Step 3: Cross multiply
    15,638.58x = 21,581.16 × 8,564.94
  4. Step 4: Simplify right side
    15,638.58x = 184,841,340.53
  5. Step 5: Solve for x
    x = 184,841,340.53/15,638.58
  6. Step 6: Final answer
    x = 11,819.57

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1.5x scale

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.