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Finding the Fourth Proportional to 2,170.90, 2,994.24 and 1,384.24

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Solution

The fourth proportional to 2,170.90, 2,994.24 and 1,384.24 is: 1,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.90 : 2,994.24 = 1,384.24 : x
  2. Step 2: Convert to fraction form
    2,170.90/2,994.24 = 1,384.24/x
  3. Step 3: Cross multiply
    2,170.90x = 2,994.24 × 1,384.24
  4. Step 4: Simplify right side
    2,170.90x = 4,144,746.78
  5. Step 5: Solve for x
    x = 4,144,746.78/2,170.90
  6. Step 6: Final answer
    x = 1,909.23

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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.