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Finding the Fourth Proportional to 26,308, 39,468.84 and 7,840

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Solution

The fourth proportional to 26,308, 39,468.84 and 7,840 is: 11,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,308 : 39,468.84 = 7,840 : x
  2. Step 2: Convert to fraction form
    26,308/39,468.84 = 7,840/x
  3. Step 3: Cross multiply
    26,308x = 39,468.84 × 7,840
  4. Step 4: Simplify right side
    26,308x = 309,435,705.60
  5. Step 5: Solve for x
    x = 309,435,705.60/26,308
  6. Step 6: Final answer
    x = 11,762.04

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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.