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Finding the Fourth Proportional to 1,805.77, 2,695.58 and 1,670.50

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Solution

The fourth proportional to 1,805.77, 2,695.58 and 1,670.50 is: 2,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.77 : 2,695.58 = 1,670.50 : x
  2. Step 2: Convert to fraction form
    1,805.77/2,695.58 = 1,670.50/x
  3. Step 3: Cross multiply
    1,805.77x = 2,695.58 × 1,670.50
  4. Step 4: Simplify right side
    1,805.77x = 4,502,966.39
  5. Step 5: Solve for x
    x = 4,502,966.39/1,805.77
  6. Step 6: Final answer
    x = 2,493.65

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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.