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Finding the Fourth Proportional to 1,410.64, 1,947 and 821.26

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Solution

The fourth proportional to 1,410.64, 1,947 and 821.26 is: 1,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.64 : 1,947 = 821.26 : x
  2. Step 2: Convert to fraction form
    1,410.64/1,947 = 821.26/x
  3. Step 3: Cross multiply
    1,410.64x = 1,947 × 821.26
  4. Step 4: Simplify right side
    1,410.64x = 1,598,993.22
  5. Step 5: Solve for x
    x = 1,598,993.22/1,410.64
  6. Step 6: Final answer
    x = 1,133.52

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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.