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Finding the Fourth Proportional to 15,636, 23,459.76 and 8,240.16

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Solution

The fourth proportional to 15,636, 23,459.76 and 8,240.16 is: 12,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636 : 23,459.76 = 8,240.16 : x
  2. Step 2: Convert to fraction form
    15,636/23,459.76 = 8,240.16/x
  3. Step 3: Cross multiply
    15,636x = 23,459.76 × 8,240.16
  4. Step 4: Simplify right side
    15,636x = 193,312,175.96
  5. Step 5: Solve for x
    x = 193,312,175.96/15,636
  6. Step 6: Final answer
    x = 12,363.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.