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Finding the Fourth Proportional to 14,257.29, 19,674.67 and 7,970.88

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Solution

The fourth proportional to 14,257.29, 19,674.67 and 7,970.88 is: 10,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.29 : 19,674.67 = 7,970.88 : x
  2. Step 2: Convert to fraction form
    14,257.29/19,674.67 = 7,970.88/x
  3. Step 3: Cross multiply
    14,257.29x = 19,674.67 × 7,970.88
  4. Step 4: Simplify right side
    14,257.29x = 156,824,433.61
  5. Step 5: Solve for x
    x = 156,824,433.61/14,257.29
  6. Step 6: Final answer
    x = 10,999.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.