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Finding the Fourth Proportional to 13,935.16, 19,230.78 and 7,647.76

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Solution

The fourth proportional to 13,935.16, 19,230.78 and 7,647.76 is: 10,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.16 : 19,230.78 = 7,647.76 : x
  2. Step 2: Convert to fraction form
    13,935.16/19,230.78 = 7,647.76/x
  3. Step 3: Cross multiply
    13,935.16x = 19,230.78 × 7,647.76
  4. Step 4: Simplify right side
    13,935.16x = 147,072,390.05
  5. Step 5: Solve for x
    x = 147,072,390.05/13,935.16
  6. Step 6: Final answer
    x = 10,554.05

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1.5x scale

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.