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Finding the Fourth Proportional to 2,970.84, 4,097.02 and 2,551.05

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Solution

The fourth proportional to 2,970.84, 4,097.02 and 2,551.05 is: 3,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.84 : 4,097.02 = 2,551.05 : x
  2. Step 2: Convert to fraction form
    2,970.84/4,097.02 = 2,551.05/x
  3. Step 3: Cross multiply
    2,970.84x = 4,097.02 × 2,551.05
  4. Step 4: Simplify right side
    2,970.84x = 10,451,702.87
  5. Step 5: Solve for x
    x = 10,451,702.87/2,970.84
  6. Step 6: Final answer
    x = 3,518.10

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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.