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Finding the Fourth Proportional to 1,361.60, 1,880.16 and 1,009.60

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Solution

The fourth proportional to 1,361.60, 1,880.16 and 1,009.60 is: 1,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.60 : 1,880.16 = 1,009.60 : x
  2. Step 2: Convert to fraction form
    1,361.60/1,880.16 = 1,009.60/x
  3. Step 3: Cross multiply
    1,361.60x = 1,880.16 × 1,009.60
  4. Step 4: Simplify right side
    1,361.60x = 1,898,209.54
  5. Step 5: Solve for x
    x = 1,898,209.54/1,361.60
  6. Step 6: Final answer
    x = 1,394.10

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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.