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Finding the Fourth Proportional to 10,840, 16,260 and 4,688.32

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Solution

The fourth proportional to 10,840, 16,260 and 4,688.32 is: 7,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840 : 16,260 = 4,688.32 : x
  2. Step 2: Convert to fraction form
    10,840/16,260 = 4,688.32/x
  3. Step 3: Cross multiply
    10,840x = 16,260 × 4,688.32
  4. Step 4: Simplify right side
    10,840x = 76,232,083.20
  5. Step 5: Solve for x
    x = 76,232,083.20/10,840
  6. Step 6: Final answer
    x = 7,032.48

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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.