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Finding the Fourth Proportional to 14,264.99, 19,685.57 and 7,977.36

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Solution

The fourth proportional to 14,264.99, 19,685.57 and 7,977.36 is: 11,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.99 : 19,685.57 = 7,977.36 : x
  2. Step 2: Convert to fraction form
    14,264.99/19,685.57 = 7,977.36/x
  3. Step 3: Cross multiply
    14,264.99x = 19,685.57 × 7,977.36
  4. Step 4: Simplify right side
    14,264.99x = 157,038,838.81
  5. Step 5: Solve for x
    x = 157,038,838.81/14,264.99
  6. Step 6: Final answer
    x = 11,008.69

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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.