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Finding the Fourth Proportional to 9,615.20, 14,455.20 and 8,189.60

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Solution

The fourth proportional to 9,615.20, 14,455.20 and 8,189.60 is: 12,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.20 : 14,455.20 = 8,189.60 : x
  2. Step 2: Convert to fraction form
    9,615.20/14,455.20 = 8,189.60/x
  3. Step 3: Cross multiply
    9,615.20x = 14,455.20 × 8,189.60
  4. Step 4: Simplify right side
    9,615.20x = 118,382,305.92
  5. Step 5: Solve for x
    x = 118,382,305.92/9,615.20
  6. Step 6: Final answer
    x = 12,312.00

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1.5x scale

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.