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Finding the Fourth Proportional to 9,562.20, 14,302.80 and 8,582.10

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Solution

The fourth proportional to 9,562.20, 14,302.80 and 8,582.10 is: 12,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.20 : 14,302.80 = 8,582.10 : x
  2. Step 2: Convert to fraction form
    9,562.20/14,302.80 = 8,582.10/x
  3. Step 3: Cross multiply
    9,562.20x = 14,302.80 × 8,582.10
  4. Step 4: Simplify right side
    9,562.20x = 122,748,059.88
  5. Step 5: Solve for x
    x = 122,748,059.88/9,562.20
  6. Step 6: Final answer
    x = 12,836.80

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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.