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Finding the Fourth Proportional to 2,876.37, 3,970.15 and 1,698.23

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Solution

The fourth proportional to 2,876.37, 3,970.15 and 1,698.23 is: 2,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.37 : 3,970.15 = 1,698.23 : x
  2. Step 2: Convert to fraction form
    2,876.37/3,970.15 = 1,698.23/x
  3. Step 3: Cross multiply
    2,876.37x = 3,970.15 × 1,698.23
  4. Step 4: Simplify right side
    2,876.37x = 6,742,227.83
  5. Step 5: Solve for x
    x = 6,742,227.83/2,876.37
  6. Step 6: Final answer
    x = 2,344.01

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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.