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Finding the Fourth Proportional to 5,728.57, 7,905.80 and 3,210.55

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Solution

The fourth proportional to 5,728.57, 7,905.80 and 3,210.55 is: 4,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.57 : 7,905.80 = 3,210.55 : x
  2. Step 2: Convert to fraction form
    5,728.57/7,905.80 = 3,210.55/x
  3. Step 3: Cross multiply
    5,728.57x = 7,905.80 × 3,210.55
  4. Step 4: Simplify right side
    5,728.57x = 25,381,966.19
  5. Step 5: Solve for x
    x = 25,381,966.19/5,728.57
  6. Step 6: Final answer
    x = 4,430.77

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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.