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Finding the Fourth Proportional to 7,114, 9,817.26 and 4,130.11

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Solution

The fourth proportional to 7,114, 9,817.26 and 4,130.11 is: 5,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114 : 9,817.26 = 4,130.11 : x
  2. Step 2: Convert to fraction form
    7,114/9,817.26 = 4,130.11/x
  3. Step 3: Cross multiply
    7,114x = 9,817.26 × 4,130.11
  4. Step 4: Simplify right side
    7,114x = 40,546,363.70
  5. Step 5: Solve for x
    x = 40,546,363.70/7,114
  6. Step 6: Final answer
    x = 5,699.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.