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Finding the Fourth Proportional to 2,806.66, 4,210 and 1,051.60

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Solution

The fourth proportional to 2,806.66, 4,210 and 1,051.60 is: 1,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.66 : 4,210 = 1,051.60 : x
  2. Step 2: Convert to fraction form
    2,806.66/4,210 = 1,051.60/x
  3. Step 3: Cross multiply
    2,806.66x = 4,210 × 1,051.60
  4. Step 4: Simplify right side
    2,806.66x = 4,427,236
  5. Step 5: Solve for x
    x = 4,427,236/2,806.66
  6. Step 6: Final answer
    x = 1,577.40

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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.