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Finding the Fourth Proportional to 1,618.96, 2,415.24 and 1,574.32

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Solution

The fourth proportional to 1,618.96, 2,415.24 and 1,574.32 is: 2,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.96 : 2,415.24 = 1,574.32 : x
  2. Step 2: Convert to fraction form
    1,618.96/2,415.24 = 1,574.32/x
  3. Step 3: Cross multiply
    1,618.96x = 2,415.24 × 1,574.32
  4. Step 4: Simplify right side
    1,618.96x = 3,802,360.64
  5. Step 5: Solve for x
    x = 3,802,360.64/1,618.96
  6. Step 6: Final answer
    x = 2,348.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.