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Finding the Fourth Proportional to 14,389.68, 19,857.80 and 8,341.10

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Solution

The fourth proportional to 14,389.68, 19,857.80 and 8,341.10 is: 11,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.68 : 19,857.80 = 8,341.10 : x
  2. Step 2: Convert to fraction form
    14,389.68/19,857.80 = 8,341.10/x
  3. Step 3: Cross multiply
    14,389.68x = 19,857.80 × 8,341.10
  4. Step 4: Simplify right side
    14,389.68x = 165,635,754.59
  5. Step 5: Solve for x
    x = 165,635,754.59/14,389.68
  6. Step 6: Final answer
    x = 11,510.73

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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.