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Finding the Fourth Proportional to 12,916.44, 17,820.76 and 7,609.32

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Solution

The fourth proportional to 12,916.44, 17,820.76 and 7,609.32 is: 10,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.44 : 17,820.76 = 7,609.32 : x
  2. Step 2: Convert to fraction form
    12,916.44/17,820.76 = 7,609.32/x
  3. Step 3: Cross multiply
    12,916.44x = 17,820.76 × 7,609.32
  4. Step 4: Simplify right side
    12,916.44x = 135,603,865.48
  5. Step 5: Solve for x
    x = 135,603,865.48/12,916.44
  6. Step 6: Final answer
    x = 10,498.55

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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.