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Finding the Fourth Proportional to 7,383, 10,189.33 and 4,549.77

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Solution

The fourth proportional to 7,383, 10,189.33 and 4,549.77 is: 6,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 10,189.33 = 4,549.77 : x
  2. Step 2: Convert to fraction form
    7,383/10,189.33 = 4,549.77/x
  3. Step 3: Cross multiply
    7,383x = 10,189.33 × 4,549.77
  4. Step 4: Simplify right side
    7,383x = 46,359,107.95
  5. Step 5: Solve for x
    x = 46,359,107.95/7,383
  6. Step 6: Final answer
    x = 6,279.17

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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.