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Finding the Fourth Proportional to 4,223.40, 6,335 and 1,145.40

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Solution

The fourth proportional to 4,223.40, 6,335 and 1,145.40 is: 1,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.40 : 6,335 = 1,145.40 : x
  2. Step 2: Convert to fraction form
    4,223.40/6,335 = 1,145.40/x
  3. Step 3: Cross multiply
    4,223.40x = 6,335 × 1,145.40
  4. Step 4: Simplify right side
    4,223.40x = 7,256,109.00
  5. Step 5: Solve for x
    x = 7,256,109.00/4,223.40
  6. Step 6: Final answer
    x = 1,718.07

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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.