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Finding the Fourth Proportional to 12,764.19, 17,611.99 and 7,457.98

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Solution

The fourth proportional to 12,764.19, 17,611.99 and 7,457.98 is: 10,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.19 : 17,611.99 = 7,457.98 : x
  2. Step 2: Convert to fraction form
    12,764.19/17,611.99 = 7,457.98/x
  3. Step 3: Cross multiply
    12,764.19x = 17,611.99 × 7,457.98
  4. Step 4: Simplify right side
    12,764.19x = 131,349,869.18
  5. Step 5: Solve for x
    x = 131,349,869.18/12,764.19
  6. Step 6: Final answer
    x = 10,290.50

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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.