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Finding the Fourth Proportional to 14,157.23, 19,536.49 and 7,869.47

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Solution

The fourth proportional to 14,157.23, 19,536.49 and 7,869.47 is: 10,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.23 : 19,536.49 = 7,869.47 : x
  2. Step 2: Convert to fraction form
    14,157.23/19,536.49 = 7,869.47/x
  3. Step 3: Cross multiply
    14,157.23x = 19,536.49 × 7,869.47
  4. Step 4: Simplify right side
    14,157.23x = 153,741,821.96
  5. Step 5: Solve for x
    x = 153,741,821.96/14,157.23
  6. Step 6: Final answer
    x = 10,859.60

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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.