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Finding the Fourth Proportional to 5,271, 7,903.98 and 1,571.93

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Solution

The fourth proportional to 5,271, 7,903.98 and 1,571.93 is: 2,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271 : 7,903.98 = 1,571.93 : x
  2. Step 2: Convert to fraction form
    5,271/7,903.98 = 1,571.93/x
  3. Step 3: Cross multiply
    5,271x = 7,903.98 × 1,571.93
  4. Step 4: Simplify right side
    5,271x = 12,424,463.76
  5. Step 5: Solve for x
    x = 12,424,463.76/5,271
  6. Step 6: Final answer
    x = 2,357.14

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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.