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Finding the Fourth Proportional to 1,998.81, 2,980.94 and 1,708.16

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Solution

The fourth proportional to 1,998.81, 2,980.94 and 1,708.16 is: 2,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.81 : 2,980.94 = 1,708.16 : x
  2. Step 2: Convert to fraction form
    1,998.81/2,980.94 = 1,708.16/x
  3. Step 3: Cross multiply
    1,998.81x = 2,980.94 × 1,708.16
  4. Step 4: Simplify right side
    1,998.81x = 5,091,899.02
  5. Step 5: Solve for x
    x = 5,091,899.02/1,998.81
  6. Step 6: Final answer
    x = 2,547.47

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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.