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Finding the Fourth Proportional to 2,148.66, 2,980.94 and 2,070.90

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Solution

The fourth proportional to 2,148.66, 2,980.94 and 2,070.90 is: 2,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.66 : 2,980.94 = 2,070.90 : x
  2. Step 2: Convert to fraction form
    2,148.66/2,980.94 = 2,070.90/x
  3. Step 3: Cross multiply
    2,148.66x = 2,980.94 × 2,070.90
  4. Step 4: Simplify right side
    2,148.66x = 6,173,218.29
  5. Step 5: Solve for x
    x = 6,173,218.29/2,148.66
  6. Step 6: Final answer
    x = 2,873.05

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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.