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Finding the Fourth Proportional to 2,154.06, 2,972.16 and 1,409.12

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Solution

The fourth proportional to 2,154.06, 2,972.16 and 1,409.12 is: 1,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.06 : 2,972.16 = 1,409.12 : x
  2. Step 2: Convert to fraction form
    2,154.06/2,972.16 = 1,409.12/x
  3. Step 3: Cross multiply
    2,154.06x = 2,972.16 × 1,409.12
  4. Step 4: Simplify right side
    2,154.06x = 4,188,130.10
  5. Step 5: Solve for x
    x = 4,188,130.10/2,154.06
  6. Step 6: Final answer
    x = 1,944.30

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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.