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Finding the Fourth Proportional to 1,886.88, 2,829.48 and 570.13

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Solution

The fourth proportional to 1,886.88, 2,829.48 and 570.13 is: 854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.88 : 2,829.48 = 570.13 : x
  2. Step 2: Convert to fraction form
    1,886.88/2,829.48 = 570.13/x
  3. Step 3: Cross multiply
    1,886.88x = 2,829.48 × 570.13
  4. Step 4: Simplify right side
    1,886.88x = 1,613,162.22
  5. Step 5: Solve for x
    x = 1,613,162.22/1,886.88
  6. Step 6: Final answer
    x = 854.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.