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Finding the Fourth Proportional to 5,071.08, 7,000.02 and 3,815.79

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Solution

The fourth proportional to 5,071.08, 7,000.02 and 3,815.79 is: 5,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.08 : 7,000.02 = 3,815.79 : x
  2. Step 2: Convert to fraction form
    5,071.08/7,000.02 = 3,815.79/x
  3. Step 3: Cross multiply
    5,071.08x = 7,000.02 × 3,815.79
  4. Step 4: Simplify right side
    5,071.08x = 26,710,606.32
  5. Step 5: Solve for x
    x = 26,710,606.32/5,071.08
  6. Step 6: Final answer
    x = 5,267.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.