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Finding the Fourth Proportional to 26,309, 39,482.98 and 12,458.04

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Solution

The fourth proportional to 26,309, 39,482.98 and 12,458.04 is: 18,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,309 : 39,482.98 = 12,458.04 : x
  2. Step 2: Convert to fraction form
    26,309/39,482.98 = 12,458.04/x
  3. Step 3: Cross multiply
    26,309x = 39,482.98 × 12,458.04
  4. Step 4: Simplify right side
    26,309x = 491,880,544.16
  5. Step 5: Solve for x
    x = 491,880,544.16/26,309
  6. Step 6: Final answer
    x = 18,696.28

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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.