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Finding the Fourth Proportional to 11,656.76, 17,485.00 and 6,978.07

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Solution

The fourth proportional to 11,656.76, 17,485.00 and 6,978.07 is: 10,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.76 : 17,485.00 = 6,978.07 : x
  2. Step 2: Convert to fraction form
    11,656.76/17,485.00 = 6,978.07/x
  3. Step 3: Cross multiply
    11,656.76x = 17,485.00 × 6,978.07
  4. Step 4: Simplify right side
    11,656.76x = 122,011,492.79
  5. Step 5: Solve for x
    x = 122,011,492.79/11,656.76
  6. Step 6: Final answer
    x = 10,467.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.