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Finding the Fourth Proportional to 12,289.56, 16,946.18 and 8,303.76

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Solution

The fourth proportional to 12,289.56, 16,946.18 and 8,303.76 is: 11,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.56 : 16,946.18 = 8,303.76 : x
  2. Step 2: Convert to fraction form
    12,289.56/16,946.18 = 8,303.76/x
  3. Step 3: Cross multiply
    12,289.56x = 16,946.18 × 8,303.76
  4. Step 4: Simplify right side
    12,289.56x = 140,717,011.64
  5. Step 5: Solve for x
    x = 140,717,011.64/12,289.56
  6. Step 6: Final answer
    x = 11,450.13

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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.