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Finding the Fourth Proportional to 1,557.64, 2,149.46 and 968.16

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Solution

The fourth proportional to 1,557.64, 2,149.46 and 968.16 is: 1,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.64 : 2,149.46 = 968.16 : x
  2. Step 2: Convert to fraction form
    1,557.64/2,149.46 = 968.16/x
  3. Step 3: Cross multiply
    1,557.64x = 2,149.46 × 968.16
  4. Step 4: Simplify right side
    1,557.64x = 2,081,016.35
  5. Step 5: Solve for x
    x = 2,081,016.35/1,557.64
  6. Step 6: Final answer
    x = 1,336.01

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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.