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Finding the Fourth Proportional to 15,166.53, 20,928.06 and 9,116.10

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Solution

The fourth proportional to 15,166.53, 20,928.06 and 9,116.10 is: 12,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.53 : 20,928.06 = 9,116.10 : x
  2. Step 2: Convert to fraction form
    15,166.53/20,928.06 = 9,116.10/x
  3. Step 3: Cross multiply
    15,166.53x = 20,928.06 × 9,116.10
  4. Step 4: Simplify right side
    15,166.53x = 190,782,287.77
  5. Step 5: Solve for x
    x = 190,782,287.77/15,166.53
  6. Step 6: Final answer
    x = 12,579.17

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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.