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Finding the Fourth Proportional to 14,410, 19,885.80 and 7,786

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Solution

The fourth proportional to 14,410, 19,885.80 and 7,786 is: 10,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410 : 19,885.80 = 7,786 : x
  2. Step 2: Convert to fraction form
    14,410/19,885.80 = 7,786/x
  3. Step 3: Cross multiply
    14,410x = 19,885.80 × 7,786
  4. Step 4: Simplify right side
    14,410x = 154,830,838.80
  5. Step 5: Solve for x
    x = 154,830,838.80/14,410
  6. Step 6: Final answer
    x = 10,744.68

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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.