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Finding the Fourth Proportional to 30,615.40, 45,912.30 and 13,983.40

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Solution

The fourth proportional to 30,615.40, 45,912.30 and 13,983.40 is: 20,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.40 : 45,912.30 = 13,983.40 : x
  2. Step 2: Convert to fraction form
    30,615.40/45,912.30 = 13,983.40/x
  3. Step 3: Cross multiply
    30,615.40x = 45,912.30 × 13,983.40
  4. Step 4: Simplify right side
    30,615.40x = 642,010,055.82
  5. Step 5: Solve for x
    x = 642,010,055.82/30,615.40
  6. Step 6: Final answer
    x = 20,970.17

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1.5x scale

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.