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Finding the Fourth Proportional to 15,803.20, 21,807.54 and 9,834.68

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Solution

The fourth proportional to 15,803.20, 21,807.54 and 9,834.68 is: 13,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.20 : 21,807.54 = 9,834.68 : x
  2. Step 2: Convert to fraction form
    15,803.20/21,807.54 = 9,834.68/x
  3. Step 3: Cross multiply
    15,803.20x = 21,807.54 × 9,834.68
  4. Step 4: Simplify right side
    15,803.20x = 214,470,177.49
  5. Step 5: Solve for x
    x = 214,470,177.49/15,803.20
  6. Step 6: Final answer
    x = 13,571.31

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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.