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Finding the Fourth Proportional to 14,100, 19,457.68 and 7,812.32

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Solution

The fourth proportional to 14,100, 19,457.68 and 7,812.32 is: 10,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100 : 19,457.68 = 7,812.32 : x
  2. Step 2: Convert to fraction form
    14,100/19,457.68 = 7,812.32/x
  3. Step 3: Cross multiply
    14,100x = 19,457.68 × 7,812.32
  4. Step 4: Simplify right side
    14,100x = 152,009,622.62
  5. Step 5: Solve for x
    x = 152,009,622.62/14,100
  6. Step 6: Final answer
    x = 10,780.82

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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.