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Finding the Fourth Proportional to 1,886.86, 2,830.29 and 588.33

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Solution

The fourth proportional to 1,886.86, 2,830.29 and 588.33 is: 882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.86 : 2,830.29 = 588.33 : x
  2. Step 2: Convert to fraction form
    1,886.86/2,830.29 = 588.33/x
  3. Step 3: Cross multiply
    1,886.86x = 2,830.29 × 588.33
  4. Step 4: Simplify right side
    1,886.86x = 1,665,144.52
  5. Step 5: Solve for x
    x = 1,665,144.52/1,886.86
  6. Step 6: Final answer
    x = 882.50

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1.5x scale

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.