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Finding the Fourth Proportional to 4,661.40, 6,992.10 and 2,790.30

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Solution

The fourth proportional to 4,661.40, 6,992.10 and 2,790.30 is: 4,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.40 : 6,992.10 = 2,790.30 : x
  2. Step 2: Convert to fraction form
    4,661.40/6,992.10 = 2,790.30/x
  3. Step 3: Cross multiply
    4,661.40x = 6,992.10 × 2,790.30
  4. Step 4: Simplify right side
    4,661.40x = 19,510,056.63
  5. Step 5: Solve for x
    x = 19,510,056.63/4,661.40
  6. Step 6: Final answer
    x = 4,185.45

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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.