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Finding the Fourth Proportional to 28,647, 42,970.68 and 7,870.68

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Solution

The fourth proportional to 28,647, 42,970.68 and 7,870.68 is: 11,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,647 : 42,970.68 = 7,870.68 : x
  2. Step 2: Convert to fraction form
    28,647/42,970.68 = 7,870.68/x
  3. Step 3: Cross multiply
    28,647x = 42,970.68 × 7,870.68
  4. Step 4: Simplify right side
    28,647x = 338,208,471.66
  5. Step 5: Solve for x
    x = 338,208,471.66/28,647
  6. Step 6: Final answer
    x = 11,806.07

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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.