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Finding the Fourth Proportional to 2,828.84, 3,904 and 1,570.02

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Solution

The fourth proportional to 2,828.84, 3,904 and 1,570.02 is: 2,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.84 : 3,904 = 1,570.02 : x
  2. Step 2: Convert to fraction form
    2,828.84/3,904 = 1,570.02/x
  3. Step 3: Cross multiply
    2,828.84x = 3,904 × 1,570.02
  4. Step 4: Simplify right side
    2,828.84x = 6,129,358.08
  5. Step 5: Solve for x
    x = 6,129,358.08/2,828.84
  6. Step 6: Final answer
    x = 2,166.74

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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.