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Finding the Fourth Proportional to 14,020.65, 19,348.05 and 7,971.54

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Solution

The fourth proportional to 14,020.65, 19,348.05 and 7,971.54 is: 11,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.65 : 19,348.05 = 7,971.54 : x
  2. Step 2: Convert to fraction form
    14,020.65/19,348.05 = 7,971.54/x
  3. Step 3: Cross multiply
    14,020.65x = 19,348.05 × 7,971.54
  4. Step 4: Simplify right side
    14,020.65x = 154,233,754.50
  5. Step 5: Solve for x
    x = 154,233,754.50/14,020.65
  6. Step 6: Final answer
    x = 11,000.47

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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.