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Finding the Fourth Proportional to 3,580.47, 5,370.09 and 948.00

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Solution

The fourth proportional to 3,580.47, 5,370.09 and 948.00 is: 1,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.47 : 5,370.09 = 948.00 : x
  2. Step 2: Convert to fraction form
    3,580.47/5,370.09 = 948.00/x
  3. Step 3: Cross multiply
    3,580.47x = 5,370.09 × 948.00
  4. Step 4: Simplify right side
    3,580.47x = 5,090,864.57
  5. Step 5: Solve for x
    x = 5,090,864.57/3,580.47
  6. Step 6: Final answer
    x = 1,421.84

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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.