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Finding the Fourth Proportional to 14,030.78, 19,362.88 and 7,743.56

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Solution

The fourth proportional to 14,030.78, 19,362.88 and 7,743.56 is: 10,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.78 : 19,362.88 = 7,743.56 : x
  2. Step 2: Convert to fraction form
    14,030.78/19,362.88 = 7,743.56/x
  3. Step 3: Cross multiply
    14,030.78x = 19,362.88 × 7,743.56
  4. Step 4: Simplify right side
    14,030.78x = 149,937,623.05
  5. Step 5: Solve for x
    x = 149,937,623.05/14,030.78
  6. Step 6: Final answer
    x = 10,686.34

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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.