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Finding the Fourth Proportional to 5,807.64, 8,709.62 and 1,911.14

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Solution

The fourth proportional to 5,807.64, 8,709.62 and 1,911.14 is: 2,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.64 : 8,709.62 = 1,911.14 : x
  2. Step 2: Convert to fraction form
    5,807.64/8,709.62 = 1,911.14/x
  3. Step 3: Cross multiply
    5,807.64x = 8,709.62 × 1,911.14
  4. Step 4: Simplify right side
    5,807.64x = 16,645,303.17
  5. Step 5: Solve for x
    x = 16,645,303.17/5,807.64
  6. Step 6: Final answer
    x = 2,866.10

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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.