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Finding the Fourth Proportional to 2,784.61, 3,840.95 and 1,877.65

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Solution

The fourth proportional to 2,784.61, 3,840.95 and 1,877.65 is: 2,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.61 : 3,840.95 = 1,877.65 : x
  2. Step 2: Convert to fraction form
    2,784.61/3,840.95 = 1,877.65/x
  3. Step 3: Cross multiply
    2,784.61x = 3,840.95 × 1,877.65
  4. Step 4: Simplify right side
    2,784.61x = 7,211,954.86
  5. Step 5: Solve for x
    x = 7,211,954.86/2,784.61
  6. Step 6: Final answer
    x = 2,589.93

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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.