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Finding the Fourth Proportional to 1,423.62, 1,965.80 and 893.39

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Solution

The fourth proportional to 1,423.62, 1,965.80 and 893.39 is: 1,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.62 : 1,965.80 = 893.39 : x
  2. Step 2: Convert to fraction form
    1,423.62/1,965.80 = 893.39/x
  3. Step 3: Cross multiply
    1,423.62x = 1,965.80 × 893.39
  4. Step 4: Simplify right side
    1,423.62x = 1,756,211.77
  5. Step 5: Solve for x
    x = 1,756,211.77/1,423.62
  6. Step 6: Final answer
    x = 1,233.62

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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.