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Finding the Fourth Proportional to 2,807.58, 4,208.64 and 1,345.92

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Solution

The fourth proportional to 2,807.58, 4,208.64 and 1,345.92 is: 2,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.58 : 4,208.64 = 1,345.92 : x
  2. Step 2: Convert to fraction form
    2,807.58/4,208.64 = 1,345.92/x
  3. Step 3: Cross multiply
    2,807.58x = 4,208.64 × 1,345.92
  4. Step 4: Simplify right side
    2,807.58x = 5,664,492.75
  5. Step 5: Solve for x
    x = 5,664,492.75/2,807.58
  6. Step 6: Final answer
    x = 2,017.57

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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.