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Finding the Fourth Proportional to 2,148.98, 2,980.74 and 2,092.08

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Solution

The fourth proportional to 2,148.98, 2,980.74 and 2,092.08 is: 2,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.98 : 2,980.74 = 2,092.08 : x
  2. Step 2: Convert to fraction form
    2,148.98/2,980.74 = 2,092.08/x
  3. Step 3: Cross multiply
    2,148.98x = 2,980.74 × 2,092.08
  4. Step 4: Simplify right side
    2,148.98x = 6,235,946.54
  5. Step 5: Solve for x
    x = 6,235,946.54/2,148.98
  6. Step 6: Final answer
    x = 2,901.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.