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Finding the Fourth Proportional to 4,673.86, 7,008.69 and 1,385.80

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Solution

The fourth proportional to 4,673.86, 7,008.69 and 1,385.80 is: 2,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.86 : 7,008.69 = 1,385.80 : x
  2. Step 2: Convert to fraction form
    4,673.86/7,008.69 = 1,385.80/x
  3. Step 3: Cross multiply
    4,673.86x = 7,008.69 × 1,385.80
  4. Step 4: Simplify right side
    4,673.86x = 9,712,607.56
  5. Step 5: Solve for x
    x = 9,712,607.56/4,673.86
  6. Step 6: Final answer
    x = 2,078.07

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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.