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Finding the Fourth Proportional to 14,649.91, 21,978.15 and 4,655.23

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Solution

The fourth proportional to 14,649.91, 21,978.15 and 4,655.23 is: 6,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.91 : 21,978.15 = 4,655.23 : x
  2. Step 2: Convert to fraction form
    14,649.91/21,978.15 = 4,655.23/x
  3. Step 3: Cross multiply
    14,649.91x = 21,978.15 × 4,655.23
  4. Step 4: Simplify right side
    14,649.91x = 102,313,343.22
  5. Step 5: Solve for x
    x = 102,313,343.22/14,649.91
  6. Step 6: Final answer
    x = 6,983.89

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1.5x scale

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.