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Finding the Fourth Proportional to 15,921.49, 21,969.91 and 9,206.10

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Solution

The fourth proportional to 15,921.49, 21,969.91 and 9,206.10 is: 12,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.49 : 21,969.91 = 9,206.10 : x
  2. Step 2: Convert to fraction form
    15,921.49/21,969.91 = 9,206.10/x
  3. Step 3: Cross multiply
    15,921.49x = 21,969.91 × 9,206.10
  4. Step 4: Simplify right side
    15,921.49x = 202,257,065.79
  5. Step 5: Solve for x
    x = 202,257,065.79/15,921.49
  6. Step 6: Final answer
    x = 12,703.40

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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.