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Finding the Fourth Proportional to 15,385, 23,079.73 and 4,851.46

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Solution

The fourth proportional to 15,385, 23,079.73 and 4,851.46 is: 7,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385 : 23,079.73 = 4,851.46 : x
  2. Step 2: Convert to fraction form
    15,385/23,079.73 = 4,851.46/x
  3. Step 3: Cross multiply
    15,385x = 23,079.73 × 4,851.46
  4. Step 4: Simplify right side
    15,385x = 111,970,386.91
  5. Step 5: Solve for x
    x = 111,970,386.91/15,385
  6. Step 6: Final answer
    x = 7,277.89

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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.