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Finding the Fourth Proportional to 9,585.80, 14,386.80 and 3,746.60

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Solution

The fourth proportional to 9,585.80, 14,386.80 and 3,746.60 is: 5,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.80 : 14,386.80 = 3,746.60 : x
  2. Step 2: Convert to fraction form
    9,585.80/14,386.80 = 3,746.60/x
  3. Step 3: Cross multiply
    9,585.80x = 14,386.80 × 3,746.60
  4. Step 4: Simplify right side
    9,585.80x = 53,901,584.88
  5. Step 5: Solve for x
    x = 53,901,584.88/9,585.80
  6. Step 6: Final answer
    x = 5,623.07

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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.