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Finding the Fourth Proportional to 1,886.79, 2,829.28 and 790.86

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Solution

The fourth proportional to 1,886.79, 2,829.28 and 790.86 is: 1,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.79 : 2,829.28 = 790.86 : x
  2. Step 2: Convert to fraction form
    1,886.79/2,829.28 = 790.86/x
  3. Step 3: Cross multiply
    1,886.79x = 2,829.28 × 790.86
  4. Step 4: Simplify right side
    1,886.79x = 2,237,567.71
  5. Step 5: Solve for x
    x = 2,237,567.71/1,886.79
  6. Step 6: Final answer
    x = 1,185.91

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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.