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Finding the Fourth Proportional to 1,693.85, 2,339.38 and 1,670.79

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Solution

The fourth proportional to 1,693.85, 2,339.38 and 1,670.79 is: 2,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.85 : 2,339.38 = 1,670.79 : x
  2. Step 2: Convert to fraction form
    1,693.85/2,339.38 = 1,670.79/x
  3. Step 3: Cross multiply
    1,693.85x = 2,339.38 × 1,670.79
  4. Step 4: Simplify right side
    1,693.85x = 3,908,623.57
  5. Step 5: Solve for x
    x = 3,908,623.57/1,693.85
  6. Step 6: Final answer
    x = 2,307.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.