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Finding the Fourth Proportional to 5,728.51, 8,631.79 and 4,711.30

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Solution

The fourth proportional to 5,728.51, 8,631.79 and 4,711.30 is: 7,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.51 : 8,631.79 = 4,711.30 : x
  2. Step 2: Convert to fraction form
    5,728.51/8,631.79 = 4,711.30/x
  3. Step 3: Cross multiply
    5,728.51x = 8,631.79 × 4,711.30
  4. Step 4: Simplify right side
    5,728.51x = 40,666,952.23
  5. Step 5: Solve for x
    x = 40,666,952.23/5,728.51
  6. Step 6: Final answer
    x = 7,099.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.