Home / 2,102.08-3,154.64-1,410.08

Finding the Fourth Proportional to 2,102.08, 3,154.64 and 1,410.08

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Solution

The fourth proportional to 2,102.08, 3,154.64 and 1,410.08 is: 2,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.08 : 3,154.64 = 1,410.08 : x
  2. Step 2: Convert to fraction form
    2,102.08/3,154.64 = 1,410.08/x
  3. Step 3: Cross multiply
    2,102.08x = 3,154.64 × 1,410.08
  4. Step 4: Simplify right side
    2,102.08x = 4,448,294.77
  5. Step 5: Solve for x
    x = 4,448,294.77/2,102.08
  6. Step 6: Final answer
    x = 2,116.14

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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.