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Finding the Fourth Proportional to 27,775.68, 41,646.24 and 12,978.24

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Solution

The fourth proportional to 27,775.68, 41,646.24 and 12,978.24 is: 19,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.68 : 41,646.24 = 12,978.24 : x
  2. Step 2: Convert to fraction form
    27,775.68/41,646.24 = 12,978.24/x
  3. Step 3: Cross multiply
    27,775.68x = 41,646.24 × 12,978.24
  4. Step 4: Simplify right side
    27,775.68x = 540,494,897.82
  5. Step 5: Solve for x
    x = 540,494,897.82/27,775.68
  6. Step 6: Final answer
    x = 19,459.29

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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.