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Finding the Fourth Proportional to 5,788.54, 7,988.79 and 3,430.90

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Solution

The fourth proportional to 5,788.54, 7,988.79 and 3,430.90 is: 4,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.54 : 7,988.79 = 3,430.90 : x
  2. Step 2: Convert to fraction form
    5,788.54/7,988.79 = 3,430.90/x
  3. Step 3: Cross multiply
    5,788.54x = 7,988.79 × 3,430.90
  4. Step 4: Simplify right side
    5,788.54x = 27,408,739.61
  5. Step 5: Solve for x
    x = 27,408,739.61/5,788.54
  6. Step 6: Final answer
    x = 4,735.00

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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.