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Finding the Fourth Proportional to 14,244.81, 19,657.65 and 7,871.39

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Solution

The fourth proportional to 14,244.81, 19,657.65 and 7,871.39 is: 10,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.81 : 19,657.65 = 7,871.39 : x
  2. Step 2: Convert to fraction form
    14,244.81/19,657.65 = 7,871.39/x
  3. Step 3: Cross multiply
    14,244.81x = 19,657.65 × 7,871.39
  4. Step 4: Simplify right side
    14,244.81x = 154,733,029.63
  5. Step 5: Solve for x
    x = 154,733,029.63/14,244.81
  6. Step 6: Final answer
    x = 10,862.41

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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.