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Finding the Fourth Proportional to 10,647, 14,688 and 7,293.60

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Solution

The fourth proportional to 10,647, 14,688 and 7,293.60 is: 10,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647 : 14,688 = 7,293.60 : x
  2. Step 2: Convert to fraction form
    10,647/14,688 = 7,293.60/x
  3. Step 3: Cross multiply
    10,647x = 14,688 × 7,293.60
  4. Step 4: Simplify right side
    10,647x = 107,128,396.80
  5. Step 5: Solve for x
    x = 107,128,396.80/10,647
  6. Step 6: Final answer
    x = 10,061.84

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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.