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Finding the Fourth Proportional to 5,289.86, 7,302.33 and 3,702.74

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Solution

The fourth proportional to 5,289.86, 7,302.33 and 3,702.74 is: 5,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.86 : 7,302.33 = 3,702.74 : x
  2. Step 2: Convert to fraction form
    5,289.86/7,302.33 = 3,702.74/x
  3. Step 3: Cross multiply
    5,289.86x = 7,302.33 × 3,702.74
  4. Step 4: Simplify right side
    5,289.86x = 27,038,620.26
  5. Step 5: Solve for x
    x = 27,038,620.26/5,289.86
  6. Step 6: Final answer
    x = 5,111.41

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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.