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Finding the Fourth Proportional to 15,798.02, 21,809.16 and 9,831.62

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Solution

The fourth proportional to 15,798.02, 21,809.16 and 9,831.62 is: 13,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,798.02 : 21,809.16 = 9,831.62 : x
  2. Step 2: Convert to fraction form
    15,798.02/21,809.16 = 9,831.62/x
  3. Step 3: Cross multiply
    15,798.02x = 21,809.16 × 9,831.62
  4. Step 4: Simplify right side
    15,798.02x = 214,419,373.64
  5. Step 5: Solve for x
    x = 214,419,373.64/15,798.02
  6. Step 6: Final answer
    x = 13,572.55

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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.