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Finding the Fourth Proportional to 2,134.10, 2,980.45 and 2,134.10

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Solution

The fourth proportional to 2,134.10, 2,980.45 and 2,134.10 is: 2,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.10 : 2,980.45 = 2,134.10 : x
  2. Step 2: Convert to fraction form
    2,134.10/2,980.45 = 2,134.10/x
  3. Step 3: Cross multiply
    2,134.10x = 2,980.45 × 2,134.10
  4. Step 4: Simplify right side
    2,134.10x = 6,360,578.35
  5. Step 5: Solve for x
    x = 6,360,578.35/2,134.10
  6. Step 6: Final answer
    x = 2,980.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.