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Finding the Fourth Proportional to 2,886.13, 4,328.70 and 805.57

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Solution

The fourth proportional to 2,886.13, 4,328.70 and 805.57 is: 1,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.13 : 4,328.70 = 805.57 : x
  2. Step 2: Convert to fraction form
    2,886.13/4,328.70 = 805.57/x
  3. Step 3: Cross multiply
    2,886.13x = 4,328.70 × 805.57
  4. Step 4: Simplify right side
    2,886.13x = 3,487,070.86
  5. Step 5: Solve for x
    x = 3,487,070.86/2,886.13
  6. Step 6: Final answer
    x = 1,208.22

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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.