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Finding the Fourth Proportional to 12,916.40, 19,331.40 and 9,028.40

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Solution

The fourth proportional to 12,916.40, 19,331.40 and 9,028.40 is: 13,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.40 : 19,331.40 = 9,028.40 : x
  2. Step 2: Convert to fraction form
    12,916.40/19,331.40 = 9,028.40/x
  3. Step 3: Cross multiply
    12,916.40x = 19,331.40 × 9,028.40
  4. Step 4: Simplify right side
    12,916.40x = 174,531,611.76
  5. Step 5: Solve for x
    x = 174,531,611.76/12,916.40
  6. Step 6: Final answer
    x = 13,512.40

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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.