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Finding the Fourth Proportional to 14,284.88, 19,712.48 and 7,997.12

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Solution

The fourth proportional to 14,284.88, 19,712.48 and 7,997.12 is: 11,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.88 : 19,712.48 = 7,997.12 : x
  2. Step 2: Convert to fraction form
    14,284.88/19,712.48 = 7,997.12/x
  3. Step 3: Cross multiply
    14,284.88x = 19,712.48 × 7,997.12
  4. Step 4: Simplify right side
    14,284.88x = 157,643,068.06
  5. Step 5: Solve for x
    x = 157,643,068.06/14,284.88
  6. Step 6: Final answer
    x = 11,035.66

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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.