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Finding the Fourth Proportional to 14,230.69, 19,638.65 and 7,943.06

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Solution

The fourth proportional to 14,230.69, 19,638.65 and 7,943.06 is: 10,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.69 : 19,638.65 = 7,943.06 : x
  2. Step 2: Convert to fraction form
    14,230.69/19,638.65 = 7,943.06/x
  3. Step 3: Cross multiply
    14,230.69x = 19,638.65 × 7,943.06
  4. Step 4: Simplify right side
    14,230.69x = 155,991,044.22
  5. Step 5: Solve for x
    x = 155,991,044.22/14,230.69
  6. Step 6: Final answer
    x = 10,961.60

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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.