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Finding the Fourth Proportional to 15,357.92, 21,206.24 and 9,983.02

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Solution

The fourth proportional to 15,357.92, 21,206.24 and 9,983.02 is: 13,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,357.92 : 21,206.24 = 9,983.02 : x
  2. Step 2: Convert to fraction form
    15,357.92/21,206.24 = 9,983.02/x
  3. Step 3: Cross multiply
    15,357.92x = 21,206.24 × 9,983.02
  4. Step 4: Simplify right side
    15,357.92x = 211,702,318.04
  5. Step 5: Solve for x
    x = 211,702,318.04/15,357.92
  6. Step 6: Final answer
    x = 13,784.57

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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.