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Finding the Fourth Proportional to 2,978.08, 4,109.66 and 1,651.76

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Solution

The fourth proportional to 2,978.08, 4,109.66 and 1,651.76 is: 2,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.08 : 4,109.66 = 1,651.76 : x
  2. Step 2: Convert to fraction form
    2,978.08/4,109.66 = 1,651.76/x
  3. Step 3: Cross multiply
    2,978.08x = 4,109.66 × 1,651.76
  4. Step 4: Simplify right side
    2,978.08x = 6,788,172.00
  5. Step 5: Solve for x
    x = 6,788,172.00/2,978.08
  6. Step 6: Final answer
    x = 2,279.38

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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.