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Finding the Fourth Proportional to 3,475.71, 5,210.33 and 1,719.63

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Solution

The fourth proportional to 3,475.71, 5,210.33 and 1,719.63 is: 2,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.71 : 5,210.33 = 1,719.63 : x
  2. Step 2: Convert to fraction form
    3,475.71/5,210.33 = 1,719.63/x
  3. Step 3: Cross multiply
    3,475.71x = 5,210.33 × 1,719.63
  4. Step 4: Simplify right side
    3,475.71x = 8,959,831.18
  5. Step 5: Solve for x
    x = 8,959,831.18/3,475.71
  6. Step 6: Final answer
    x = 2,577.84

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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.