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Finding the Fourth Proportional to 2,842.86, 3,925.62 and 1,782.45

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Solution

The fourth proportional to 2,842.86, 3,925.62 and 1,782.45 is: 2,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.86 : 3,925.62 = 1,782.45 : x
  2. Step 2: Convert to fraction form
    2,842.86/3,925.62 = 1,782.45/x
  3. Step 3: Cross multiply
    2,842.86x = 3,925.62 × 1,782.45
  4. Step 4: Simplify right side
    2,842.86x = 6,997,221.37
  5. Step 5: Solve for x
    x = 6,997,221.37/2,842.86
  6. Step 6: Final answer
    x = 2,461.33

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1.5x scale

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.