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Finding the Fourth Proportional to 4,762.34, 7,144.65 and 1,987.47

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Solution

The fourth proportional to 4,762.34, 7,144.65 and 1,987.47 is: 2,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.34 : 7,144.65 = 1,987.47 : x
  2. Step 2: Convert to fraction form
    4,762.34/7,144.65 = 1,987.47/x
  3. Step 3: Cross multiply
    4,762.34x = 7,144.65 × 1,987.47
  4. Step 4: Simplify right side
    4,762.34x = 14,199,777.54
  5. Step 5: Solve for x
    x = 14,199,777.54/4,762.34
  6. Step 6: Final answer
    x = 2,981.68

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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.