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Finding the Fourth Proportional to 1,773, 2,647.80 and 1,678.32

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Solution

The fourth proportional to 1,773, 2,647.80 and 1,678.32 is: 2,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773 : 2,647.80 = 1,678.32 : x
  2. Step 2: Convert to fraction form
    1,773/2,647.80 = 1,678.32/x
  3. Step 3: Cross multiply
    1,773x = 2,647.80 × 1,678.32
  4. Step 4: Simplify right side
    1,773x = 4,443,855.70
  5. Step 5: Solve for x
    x = 4,443,855.70/1,773
  6. Step 6: Final answer
    x = 2,506.40

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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.