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Finding the Fourth Proportional to 3,762.65, 5,642.80 and 1,570.93

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Solution

The fourth proportional to 3,762.65, 5,642.80 and 1,570.93 is: 2,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.65 : 5,642.80 = 1,570.93 : x
  2. Step 2: Convert to fraction form
    3,762.65/5,642.80 = 1,570.93/x
  3. Step 3: Cross multiply
    3,762.65x = 5,642.80 × 1,570.93
  4. Step 4: Simplify right side
    3,762.65x = 8,864,425.77
  5. Step 5: Solve for x
    x = 8,864,425.77/3,762.65
  6. Step 6: Final answer
    x = 2,355.90

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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.