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Finding the Fourth Proportional to 7,782.36, 11,715.05 and 6,978.63

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Solution

The fourth proportional to 7,782.36, 11,715.05 and 6,978.63 is: 10,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.36 : 11,715.05 = 6,978.63 : x
  2. Step 2: Convert to fraction form
    7,782.36/11,715.05 = 6,978.63/x
  3. Step 3: Cross multiply
    7,782.36x = 11,715.05 × 6,978.63
  4. Step 4: Simplify right side
    7,782.36x = 81,754,999.38
  5. Step 5: Solve for x
    x = 81,754,999.38/7,782.36
  6. Step 6: Final answer
    x = 10,505.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.