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Finding the Fourth Proportional to 4,699, 7,048.60 and 1,778.68

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Solution

The fourth proportional to 4,699, 7,048.60 and 1,778.68 is: 2,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699 : 7,048.60 = 1,778.68 : x
  2. Step 2: Convert to fraction form
    4,699/7,048.60 = 1,778.68/x
  3. Step 3: Cross multiply
    4,699x = 7,048.60 × 1,778.68
  4. Step 4: Simplify right side
    4,699x = 12,537,203.85
  5. Step 5: Solve for x
    x = 12,537,203.85/4,699
  6. Step 6: Final answer
    x = 2,668.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.