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Finding the Fourth Proportional to 9,137.64, 13,710.63 and 4,971.40

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Solution

The fourth proportional to 9,137.64, 13,710.63 and 4,971.40 is: 7,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.64 : 13,710.63 = 4,971.40 : x
  2. Step 2: Convert to fraction form
    9,137.64/13,710.63 = 4,971.40/x
  3. Step 3: Cross multiply
    9,137.64x = 13,710.63 × 4,971.40
  4. Step 4: Simplify right side
    9,137.64x = 68,161,025.98
  5. Step 5: Solve for x
    x = 68,161,025.98/9,137.64
  6. Step 6: Final answer
    x = 7,459.37

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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.