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Finding the Fourth Proportional to 9,580, 14,370 and 2,654.50

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Solution

The fourth proportional to 9,580, 14,370 and 2,654.50 is: 3,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580 : 14,370 = 2,654.50 : x
  2. Step 2: Convert to fraction form
    9,580/14,370 = 2,654.50/x
  3. Step 3: Cross multiply
    9,580x = 14,370 × 2,654.50
  4. Step 4: Simplify right side
    9,580x = 38,145,165
  5. Step 5: Solve for x
    x = 38,145,165/9,580
  6. Step 6: Final answer
    x = 3,981.75

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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.