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Finding the Fourth Proportional to 8,700, 12,005.83 and 4,923.02

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Solution

The fourth proportional to 8,700, 12,005.83 and 4,923.02 is: 6,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,700 : 12,005.83 = 4,923.02 : x
  2. Step 2: Convert to fraction form
    8,700/12,005.83 = 4,923.02/x
  3. Step 3: Cross multiply
    8,700x = 12,005.83 × 4,923.02
  4. Step 4: Simplify right side
    8,700x = 59,104,941.21
  5. Step 5: Solve for x
    x = 59,104,941.21/8,700
  6. Step 6: Final answer
    x = 6,793.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.