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Finding the Fourth Proportional to 15,583.12, 21,505.08 and 8,509.48

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Solution

The fourth proportional to 15,583.12, 21,505.08 and 8,509.48 is: 11,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.12 : 21,505.08 = 8,509.48 : x
  2. Step 2: Convert to fraction form
    15,583.12/21,505.08 = 8,509.48/x
  3. Step 3: Cross multiply
    15,583.12x = 21,505.08 × 8,509.48
  4. Step 4: Simplify right side
    15,583.12x = 182,997,048.16
  5. Step 5: Solve for x
    x = 182,997,048.16/15,583.12
  6. Step 6: Final answer
    x = 11,743.29

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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.