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Finding the Fourth Proportional to 30,209.49, 45,302.69 and 9,941.51

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Solution

The fourth proportional to 30,209.49, 45,302.69 and 9,941.51 is: 14,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.49 : 45,302.69 = 9,941.51 : x
  2. Step 2: Convert to fraction form
    30,209.49/45,302.69 = 9,941.51/x
  3. Step 3: Cross multiply
    30,209.49x = 45,302.69 × 9,941.51
  4. Step 4: Simplify right side
    30,209.49x = 450,376,869.44
  5. Step 5: Solve for x
    x = 450,376,869.44/30,209.49
  6. Step 6: Final answer
    x = 14,908.46

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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.