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Finding the Fourth Proportional to 9,260.12, 12,784.93 and 8,263.68

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Solution

The fourth proportional to 9,260.12, 12,784.93 and 8,263.68 is: 11,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.12 : 12,784.93 = 8,263.68 : x
  2. Step 2: Convert to fraction form
    9,260.12/12,784.93 = 8,263.68/x
  3. Step 3: Cross multiply
    9,260.12x = 12,784.93 × 8,263.68
  4. Step 4: Simplify right side
    9,260.12x = 105,650,570.34
  5. Step 5: Solve for x
    x = 105,650,570.34/9,260.12
  6. Step 6: Final answer
    x = 11,409.20

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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.