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Finding the Fourth Proportional to 9,140, 13,710 and 2,214.50

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Solution

The fourth proportional to 9,140, 13,710 and 2,214.50 is: 3,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140 : 13,710 = 2,214.50 : x
  2. Step 2: Convert to fraction form
    9,140/13,710 = 2,214.50/x
  3. Step 3: Cross multiply
    9,140x = 13,710 × 2,214.50
  4. Step 4: Simplify right side
    9,140x = 30,360,795
  5. Step 5: Solve for x
    x = 30,360,795/9,140
  6. Step 6: Final answer
    x = 3,321.75

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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.