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Finding the Fourth Proportional to 9,320, 12,854.96 and 5,730.26

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Solution

The fourth proportional to 9,320, 12,854.96 and 5,730.26 is: 7,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320 : 12,854.96 = 5,730.26 : x
  2. Step 2: Convert to fraction form
    9,320/12,854.96 = 5,730.26/x
  3. Step 3: Cross multiply
    9,320x = 12,854.96 × 5,730.26
  4. Step 4: Simplify right side
    9,320x = 73,662,170.16
  5. Step 5: Solve for x
    x = 73,662,170.16/9,320
  6. Step 6: Final answer
    x = 7,903.67

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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.