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Finding the Fourth Proportional to 3,470.95, 4,784.97 and 2,143.77

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Solution

The fourth proportional to 3,470.95, 4,784.97 and 2,143.77 is: 2,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.95 : 4,784.97 = 2,143.77 : x
  2. Step 2: Convert to fraction form
    3,470.95/4,784.97 = 2,143.77/x
  3. Step 3: Cross multiply
    3,470.95x = 4,784.97 × 2,143.77
  4. Step 4: Simplify right side
    3,470.95x = 10,257,875.14
  5. Step 5: Solve for x
    x = 10,257,875.14/3,470.95
  6. Step 6: Final answer
    x = 2,955.35

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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.