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Finding the Fourth Proportional to 15,343.90, 23,018.47 and 4,811.90

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Solution

The fourth proportional to 15,343.90, 23,018.47 and 4,811.90 is: 7,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.90 : 23,018.47 = 4,811.90 : x
  2. Step 2: Convert to fraction form
    15,343.90/23,018.47 = 4,811.90/x
  3. Step 3: Cross multiply
    15,343.90x = 23,018.47 × 4,811.90
  4. Step 4: Simplify right side
    15,343.90x = 110,762,448.67
  5. Step 5: Solve for x
    x = 110,762,448.67/15,343.90
  6. Step 6: Final answer
    x = 7,218.66

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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.