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Finding the Fourth Proportional to 30,195.84, 45,259.20 and 11,712

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Solution

The fourth proportional to 30,195.84, 45,259.20 and 11,712 is: 17,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195.84 : 45,259.20 = 11,712 : x
  2. Step 2: Convert to fraction form
    30,195.84/45,259.20 = 11,712/x
  3. Step 3: Cross multiply
    30,195.84x = 45,259.20 × 11,712
  4. Step 4: Simplify right side
    30,195.84x = 530,075,750.40
  5. Step 5: Solve for x
    x = 530,075,750.40/30,195.84
  6. Step 6: Final answer
    x = 17,554.60

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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.