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Finding the Fourth Proportional to 28,577.06, 42,865.08 and 7,800.56

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Solution

The fourth proportional to 28,577.06, 42,865.08 and 7,800.56 is: 11,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.06 : 42,865.08 = 7,800.56 : x
  2. Step 2: Convert to fraction form
    28,577.06/42,865.08 = 7,800.56/x
  3. Step 3: Cross multiply
    28,577.06x = 42,865.08 × 7,800.56
  4. Step 4: Simplify right side
    28,577.06x = 334,371,628.44
  5. Step 5: Solve for x
    x = 334,371,628.44/28,577.06
  6. Step 6: Final answer
    x = 11,700.70

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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.