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Finding the Fourth Proportional to 3,511.63, 5,266.77 and 1,319.77

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Solution

The fourth proportional to 3,511.63, 5,266.77 and 1,319.77 is: 1,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.63 : 5,266.77 = 1,319.77 : x
  2. Step 2: Convert to fraction form
    3,511.63/5,266.77 = 1,319.77/x
  3. Step 3: Cross multiply
    3,511.63x = 5,266.77 × 1,319.77
  4. Step 4: Simplify right side
    3,511.63x = 6,950,925.04
  5. Step 5: Solve for x
    x = 6,950,925.04/3,511.63
  6. Step 6: Final answer
    x = 1,979.40

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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.