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Finding the Fourth Proportional to 26,316, 39,480.84 and 7,848

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Solution

The fourth proportional to 26,316, 39,480.84 and 7,848 is: 11,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,316 : 39,480.84 = 7,848 : x
  2. Step 2: Convert to fraction form
    26,316/39,480.84 = 7,848/x
  3. Step 3: Cross multiply
    26,316x = 39,480.84 × 7,848
  4. Step 4: Simplify right side
    26,316x = 309,845,632.32
  5. Step 5: Solve for x
    x = 309,845,632.32/26,316
  6. Step 6: Final answer
    x = 11,774.04

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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.