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Finding the Fourth Proportional to 14,161.80, 19,541.70 and 7,873.80

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Solution

The fourth proportional to 14,161.80, 19,541.70 and 7,873.80 is: 10,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.80 : 19,541.70 = 7,873.80 : x
  2. Step 2: Convert to fraction form
    14,161.80/19,541.70 = 7,873.80/x
  3. Step 3: Cross multiply
    14,161.80x = 19,541.70 × 7,873.80
  4. Step 4: Simplify right side
    14,161.80x = 153,867,437.46
  5. Step 5: Solve for x
    x = 153,867,437.46/14,161.80
  6. Step 6: Final answer
    x = 10,864.96

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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.