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Finding the Fourth Proportional to 12,887.28, 17,784.48 and 7,298.28

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Solution

The fourth proportional to 12,887.28, 17,784.48 and 7,298.28 is: 10,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.28 : 17,784.48 = 7,298.28 : x
  2. Step 2: Convert to fraction form
    12,887.28/17,784.48 = 7,298.28/x
  3. Step 3: Cross multiply
    12,887.28x = 17,784.48 × 7,298.28
  4. Step 4: Simplify right side
    12,887.28x = 129,796,114.69
  5. Step 5: Solve for x
    x = 129,796,114.69/12,887.28
  6. Step 6: Final answer
    x = 10,071.65

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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.