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Finding the Fourth Proportional to 15,642.62, 21,586.60 and 8,569.09

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Solution

The fourth proportional to 15,642.62, 21,586.60 and 8,569.09 is: 11,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.62 : 21,586.60 = 8,569.09 : x
  2. Step 2: Convert to fraction form
    15,642.62/21,586.60 = 8,569.09/x
  3. Step 3: Cross multiply
    15,642.62x = 21,586.60 × 8,569.09
  4. Step 4: Simplify right side
    15,642.62x = 184,977,518.19
  5. Step 5: Solve for x
    x = 184,977,518.19/15,642.62
  6. Step 6: Final answer
    x = 11,825.23

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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.