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Finding the Fourth Proportional to 12,346, 18,526.56 and 4,949.68

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Solution

The fourth proportional to 12,346, 18,526.56 and 4,949.68 is: 7,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346 : 18,526.56 = 4,949.68 : x
  2. Step 2: Convert to fraction form
    12,346/18,526.56 = 4,949.68/x
  3. Step 3: Cross multiply
    12,346x = 18,526.56 × 4,949.68
  4. Step 4: Simplify right side
    12,346x = 91,700,543.50
  5. Step 5: Solve for x
    x = 91,700,543.50/12,346
  6. Step 6: Final answer
    x = 7,427.55

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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.