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Finding the Fourth Proportional to 7,346, 10,137.72 and 4,202

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Solution

The fourth proportional to 7,346, 10,137.72 and 4,202 is: 5,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346 : 10,137.72 = 4,202 : x
  2. Step 2: Convert to fraction form
    7,346/10,137.72 = 4,202/x
  3. Step 3: Cross multiply
    7,346x = 10,137.72 × 4,202
  4. Step 4: Simplify right side
    7,346x = 42,598,699.44
  5. Step 5: Solve for x
    x = 42,598,699.44/7,346
  6. Step 6: Final answer
    x = 5,798.90

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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.