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Finding the Fourth Proportional to 1,978.60, 2,730.77 and 1,508.06

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Solution

The fourth proportional to 1,978.60, 2,730.77 and 1,508.06 is: 2,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.60 : 2,730.77 = 1,508.06 : x
  2. Step 2: Convert to fraction form
    1,978.60/2,730.77 = 1,508.06/x
  3. Step 3: Cross multiply
    1,978.60x = 2,730.77 × 1,508.06
  4. Step 4: Simplify right side
    1,978.60x = 4,118,165.01
  5. Step 5: Solve for x
    x = 4,118,165.01/1,978.60
  6. Step 6: Final answer
    x = 2,081.35

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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.