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Finding the Fourth Proportional to 5,623.36, 7,761 and 4,223.68

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Solution

The fourth proportional to 5,623.36, 7,761 and 4,223.68 is: 5,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.36 : 7,761 = 4,223.68 : x
  2. Step 2: Convert to fraction form
    5,623.36/7,761 = 4,223.68/x
  3. Step 3: Cross multiply
    5,623.36x = 7,761 × 4,223.68
  4. Step 4: Simplify right side
    5,623.36x = 32,779,980.48
  5. Step 5: Solve for x
    x = 32,779,980.48/5,623.36
  6. Step 6: Final answer
    x = 5,829.25

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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.