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Finding the Fourth Proportional to 9,405.91, 12,967.45 and 7,806.77

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Solution

The fourth proportional to 9,405.91, 12,967.45 and 7,806.77 is: 10,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.91 : 12,967.45 = 7,806.77 : x
  2. Step 2: Convert to fraction form
    9,405.91/12,967.45 = 7,806.77/x
  3. Step 3: Cross multiply
    9,405.91x = 12,967.45 × 7,806.77
  4. Step 4: Simplify right side
    9,405.91x = 101,233,899.64
  5. Step 5: Solve for x
    x = 101,233,899.64/9,405.91
  6. Step 6: Final answer
    x = 10,762.80

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1.5x scale

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.