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Finding the Fourth Proportional to 5,430.75, 8,133.06 and 4,646.25

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Solution

The fourth proportional to 5,430.75, 8,133.06 and 4,646.25 is: 6,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.75 : 8,133.06 = 4,646.25 : x
  2. Step 2: Convert to fraction form
    5,430.75/8,133.06 = 4,646.25/x
  3. Step 3: Cross multiply
    5,430.75x = 8,133.06 × 4,646.25
  4. Step 4: Simplify right side
    5,430.75x = 37,788,230.03
  5. Step 5: Solve for x
    x = 37,788,230.03/5,430.75
  6. Step 6: Final answer
    x = 6,958.20

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1.5x scale

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.