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Finding the Fourth Proportional to 2,105.64, 2,904.54 and 1,685.64

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Solution

The fourth proportional to 2,105.64, 2,904.54 and 1,685.64 is: 2,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.64 : 2,904.54 = 1,685.64 : x
  2. Step 2: Convert to fraction form
    2,105.64/2,904.54 = 1,685.64/x
  3. Step 3: Cross multiply
    2,105.64x = 2,904.54 × 1,685.64
  4. Step 4: Simplify right side
    2,105.64x = 4,896,008.81
  5. Step 5: Solve for x
    x = 4,896,008.81/2,105.64
  6. Step 6: Final answer
    x = 2,325.19

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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.