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Finding the Fourth Proportional to 4,762.07, 7,141.53 and 1,642

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Solution

The fourth proportional to 4,762.07, 7,141.53 and 1,642 is: 2,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.07 : 7,141.53 = 1,642 : x
  2. Step 2: Convert to fraction form
    4,762.07/7,141.53 = 1,642/x
  3. Step 3: Cross multiply
    4,762.07x = 7,141.53 × 1,642
  4. Step 4: Simplify right side
    4,762.07x = 11,726,384.05
  5. Step 5: Solve for x
    x = 11,726,384.05/4,762.07
  6. Step 6: Final answer
    x = 2,462.46

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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.