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Finding the Fourth Proportional to 9,340.96, 12,890 and 5,804.16

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Solution

The fourth proportional to 9,340.96, 12,890 and 5,804.16 is: 8,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.96 : 12,890 = 5,804.16 : x
  2. Step 2: Convert to fraction form
    9,340.96/12,890 = 5,804.16/x
  3. Step 3: Cross multiply
    9,340.96x = 12,890 × 5,804.16
  4. Step 4: Simplify right side
    9,340.96x = 74,815,622.40
  5. Step 5: Solve for x
    x = 74,815,622.40/9,340.96
  6. Step 6: Final answer
    x = 8,009.41

Related Problems

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Double scale
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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.