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Finding the Fourth Proportional to 13,006.71, 19,493.06 and 5,220.99

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Solution

The fourth proportional to 13,006.71, 19,493.06 and 5,220.99 is: 7,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.71 : 19,493.06 = 5,220.99 : x
  2. Step 2: Convert to fraction form
    13,006.71/19,493.06 = 5,220.99/x
  3. Step 3: Cross multiply
    13,006.71x = 19,493.06 × 5,220.99
  4. Step 4: Simplify right side
    13,006.71x = 101,773,045.22
  5. Step 5: Solve for x
    x = 101,773,045.22/13,006.71
  6. Step 6: Final answer
    x = 7,824.66

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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.