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Finding the Fourth Proportional to 28,225.81, 42,330.80 and 8,501.50

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Solution

The fourth proportional to 28,225.81, 42,330.80 and 8,501.50 is: 12,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,225.81 : 42,330.80 = 8,501.50 : x
  2. Step 2: Convert to fraction form
    28,225.81/42,330.80 = 8,501.50/x
  3. Step 3: Cross multiply
    28,225.81x = 42,330.80 × 8,501.50
  4. Step 4: Simplify right side
    28,225.81x = 359,875,084.55
  5. Step 5: Solve for x
    x = 359,875,084.55/28,225.81
  6. Step 6: Final answer
    x = 12,749.86

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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.