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Finding the Fourth Proportional to 11,520, 15,828.67 and 9,158.04

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Solution

The fourth proportional to 11,520, 15,828.67 and 9,158.04 is: 12,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 15,828.67 = 9,158.04 : x
  2. Step 2: Convert to fraction form
    11,520/15,828.67 = 9,158.04/x
  3. Step 3: Cross multiply
    11,520x = 15,828.67 × 9,158.04
  4. Step 4: Simplify right side
    11,520x = 144,959,593.01
  5. Step 5: Solve for x
    x = 144,959,593.01/11,520
  6. Step 6: Final answer
    x = 12,583.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.