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Finding the Fourth Proportional to 9,915, 14,861.26 and 4,643.72

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Solution

The fourth proportional to 9,915, 14,861.26 and 4,643.72 is: 6,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915 : 14,861.26 = 4,643.72 : x
  2. Step 2: Convert to fraction form
    9,915/14,861.26 = 4,643.72/x
  3. Step 3: Cross multiply
    9,915x = 14,861.26 × 4,643.72
  4. Step 4: Simplify right side
    9,915x = 69,011,530.29
  5. Step 5: Solve for x
    x = 69,011,530.29/9,915
  6. Step 6: Final answer
    x = 6,960.32

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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.