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Finding the Fourth Proportional to 9,802.12, 13,542.12 and 9,728.32

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Solution

The fourth proportional to 9,802.12, 13,542.12 and 9,728.32 is: 13,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.12 : 13,542.12 = 9,728.32 : x
  2. Step 2: Convert to fraction form
    9,802.12/13,542.12 = 9,728.32/x
  3. Step 3: Cross multiply
    9,802.12x = 13,542.12 × 9,728.32
  4. Step 4: Simplify right side
    9,802.12x = 131,742,076.84
  5. Step 5: Solve for x
    x = 131,742,076.84/9,802.12
  6. Step 6: Final answer
    x = 13,440.16

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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.