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Finding the Fourth Proportional to 15,642.54, 21,568.99 and 9,969.70

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Solution

The fourth proportional to 15,642.54, 21,568.99 and 9,969.70 is: 13,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.54 : 21,568.99 = 9,969.70 : x
  2. Step 2: Convert to fraction form
    15,642.54/21,568.99 = 9,969.70/x
  3. Step 3: Cross multiply
    15,642.54x = 21,568.99 × 9,969.70
  4. Step 4: Simplify right side
    15,642.54x = 215,036,359.60
  5. Step 5: Solve for x
    x = 215,036,359.60/15,642.54
  6. Step 6: Final answer
    x = 13,746.90

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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.