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Finding the Fourth Proportional to 12,965.61, 19,432.01 and 8,283.81

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Solution

The fourth proportional to 12,965.61, 19,432.01 and 8,283.81 is: 12,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.61 : 19,432.01 = 8,283.81 : x
  2. Step 2: Convert to fraction form
    12,965.61/19,432.01 = 8,283.81/x
  3. Step 3: Cross multiply
    12,965.61x = 19,432.01 × 8,283.81
  4. Step 4: Simplify right side
    12,965.61x = 160,971,099.47
  5. Step 5: Solve for x
    x = 160,971,099.47/12,965.61
  6. Step 6: Final answer
    x = 12,415.24

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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.