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Finding the Fourth Proportional to 1,807.64, 2,698.16 and 1,675.74

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Solution

The fourth proportional to 1,807.64, 2,698.16 and 1,675.74 is: 2,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.64 : 2,698.16 = 1,675.74 : x
  2. Step 2: Convert to fraction form
    1,807.64/2,698.16 = 1,675.74/x
  3. Step 3: Cross multiply
    1,807.64x = 2,698.16 × 1,675.74
  4. Step 4: Simplify right side
    1,807.64x = 4,521,406.26
  5. Step 5: Solve for x
    x = 4,521,406.26/1,807.64
  6. Step 6: Final answer
    x = 2,501.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.