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Finding the Fourth Proportional to 12,903.76, 17,802.08 and 8,426.08

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Solution

The fourth proportional to 12,903.76, 17,802.08 and 8,426.08 is: 11,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.76 : 17,802.08 = 8,426.08 : x
  2. Step 2: Convert to fraction form
    12,903.76/17,802.08 = 8,426.08/x
  3. Step 3: Cross multiply
    12,903.76x = 17,802.08 × 8,426.08
  4. Step 4: Simplify right side
    12,903.76x = 150,001,750.25
  5. Step 5: Solve for x
    x = 150,001,750.25/12,903.76
  6. Step 6: Final answer
    x = 11,624.65

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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.