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Finding the Fourth Proportional to 15,807, 23,711.60 and 4,712.84

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Solution

The fourth proportional to 15,807, 23,711.60 and 4,712.84 is: 7,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807 : 23,711.60 = 4,712.84 : x
  2. Step 2: Convert to fraction form
    15,807/23,711.60 = 4,712.84/x
  3. Step 3: Cross multiply
    15,807x = 23,711.60 × 4,712.84
  4. Step 4: Simplify right side
    15,807x = 111,748,976.94
  5. Step 5: Solve for x
    x = 111,748,976.94/15,807
  6. Step 6: Final answer
    x = 7,069.59

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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.