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Finding the Fourth Proportional to 11,880.57, 17,802.12 and 9,648.54

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Solution

The fourth proportional to 11,880.57, 17,802.12 and 9,648.54 is: 14,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.57 : 17,802.12 = 9,648.54 : x
  2. Step 2: Convert to fraction form
    11,880.57/17,802.12 = 9,648.54/x
  3. Step 3: Cross multiply
    11,880.57x = 17,802.12 × 9,648.54
  4. Step 4: Simplify right side
    11,880.57x = 171,764,466.90
  5. Step 5: Solve for x
    x = 171,764,466.90/11,880.57
  6. Step 6: Final answer
    x = 14,457.59

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1.5x scale

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.