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Finding the Fourth Proportional to 30,643.99, 45,984.35 and 13,113.84

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Solution

The fourth proportional to 30,643.99, 45,984.35 and 13,113.84 is: 19,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.99 : 45,984.35 = 13,113.84 : x
  2. Step 2: Convert to fraction form
    30,643.99/45,984.35 = 13,113.84/x
  3. Step 3: Cross multiply
    30,643.99x = 45,984.35 × 13,113.84
  4. Step 4: Simplify right side
    30,643.99x = 603,031,359.12
  5. Step 5: Solve for x
    x = 603,031,359.12/30,643.99
  6. Step 6: Final answer
    x = 19,678.62

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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.