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Finding the Fourth Proportional to 9,281.81, 12,809.61 and 5,303.09

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Solution

The fourth proportional to 9,281.81, 12,809.61 and 5,303.09 is: 7,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.81 : 12,809.61 = 5,303.09 : x
  2. Step 2: Convert to fraction form
    9,281.81/12,809.61 = 5,303.09/x
  3. Step 3: Cross multiply
    9,281.81x = 12,809.61 × 5,303.09
  4. Step 4: Simplify right side
    9,281.81x = 67,930,488.18
  5. Step 5: Solve for x
    x = 67,930,488.18/9,281.81
  6. Step 6: Final answer
    x = 7,318.67

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1.5x scale

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.