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Finding the Fourth Proportional to 12,802.56, 17,662.48 and 9,453.28

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Solution

The fourth proportional to 12,802.56, 17,662.48 and 9,453.28 is: 13,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.56 : 17,662.48 = 9,453.28 : x
  2. Step 2: Convert to fraction form
    12,802.56/17,662.48 = 9,453.28/x
  3. Step 3: Cross multiply
    12,802.56x = 17,662.48 × 9,453.28
  4. Step 4: Simplify right side
    12,802.56x = 166,968,368.93
  5. Step 5: Solve for x
    x = 166,968,368.93/12,802.56
  6. Step 6: Final answer
    x = 13,041.80

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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.