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Finding the Fourth Proportional to 9,641, 14,463.94 and 2,715.50

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Solution

The fourth proportional to 9,641, 14,463.94 and 2,715.50 is: 4,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641 : 14,463.94 = 2,715.50 : x
  2. Step 2: Convert to fraction form
    9,641/14,463.94 = 2,715.50/x
  3. Step 3: Cross multiply
    9,641x = 14,463.94 × 2,715.50
  4. Step 4: Simplify right side
    9,641x = 39,276,829.07
  5. Step 5: Solve for x
    x = 39,276,829.07/9,641
  6. Step 6: Final answer
    x = 4,073.94

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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.