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Finding the Fourth Proportional to 13,985.89, 20,978.84 and 9,590.02

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Solution

The fourth proportional to 13,985.89, 20,978.84 and 9,590.02 is: 14,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.89 : 20,978.84 = 9,590.02 : x
  2. Step 2: Convert to fraction form
    13,985.89/20,978.84 = 9,590.02/x
  3. Step 3: Cross multiply
    13,985.89x = 20,978.84 × 9,590.02
  4. Step 4: Simplify right side
    13,985.89x = 201,187,342.33
  5. Step 5: Solve for x
    x = 201,187,342.33/13,985.89
  6. Step 6: Final answer
    x = 14,385.03

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1.5x scale

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.