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Finding the Fourth Proportional to 2,184.40, 2,972.80 and 2,184.40

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Solution

The fourth proportional to 2,184.40, 2,972.80 and 2,184.40 is: 2,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.40 : 2,972.80 = 2,184.40 : x
  2. Step 2: Convert to fraction form
    2,184.40/2,972.80 = 2,184.40/x
  3. Step 3: Cross multiply
    2,184.40x = 2,972.80 × 2,184.40
  4. Step 4: Simplify right side
    2,184.40x = 6,493,784.32
  5. Step 5: Solve for x
    x = 6,493,784.32/2,184.40
  6. Step 6: Final answer
    x = 2,972.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.