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Finding the Fourth Proportional to 2,669, 4,005.12 and 1,130

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Solution

The fourth proportional to 2,669, 4,005.12 and 1,130 is: 1,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669 : 4,005.12 = 1,130 : x
  2. Step 2: Convert to fraction form
    2,669/4,005.12 = 1,130/x
  3. Step 3: Cross multiply
    2,669x = 4,005.12 × 1,130
  4. Step 4: Simplify right side
    2,669x = 4,525,785.60
  5. Step 5: Solve for x
    x = 4,525,785.60/2,669
  6. Step 6: Final answer
    x = 1,695.69

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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.