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Finding the Fourth Proportional to 28,583.34, 42,876.15 and 7,806.78

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Solution

The fourth proportional to 28,583.34, 42,876.15 and 7,806.78 is: 11,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,583.34 : 42,876.15 = 7,806.78 : x
  2. Step 2: Convert to fraction form
    28,583.34/42,876.15 = 7,806.78/x
  3. Step 3: Cross multiply
    28,583.34x = 42,876.15 × 7,806.78
  4. Step 4: Simplify right side
    28,583.34x = 334,724,670.30
  5. Step 5: Solve for x
    x = 334,724,670.30/28,583.34
  6. Step 6: Final answer
    x = 11,710.48

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1.5x scale

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.