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Finding the Fourth Proportional to 30,466, 45,705.72 and 12,950.80

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Solution

The fourth proportional to 30,466, 45,705.72 and 12,950.80 is: 19,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466 : 45,705.72 = 12,950.80 : x
  2. Step 2: Convert to fraction form
    30,466/45,705.72 = 12,950.80/x
  3. Step 3: Cross multiply
    30,466x = 45,705.72 × 12,950.80
  4. Step 4: Simplify right side
    30,466x = 591,925,638.58
  5. Step 5: Solve for x
    x = 591,925,638.58/30,466
  6. Step 6: Final answer
    x = 19,429.06

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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.