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Finding the Fourth Proportional to 48,461, 72,691.50 and 12,922.44

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Solution

The fourth proportional to 48,461, 72,691.50 and 12,922.44 is: 19,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,461 : 72,691.50 = 12,922.44 : x
  2. Step 2: Convert to fraction form
    48,461/72,691.50 = 12,922.44/x
  3. Step 3: Cross multiply
    48,461x = 72,691.50 × 12,922.44
  4. Step 4: Simplify right side
    48,461x = 939,351,547.26
  5. Step 5: Solve for x
    x = 939,351,547.26/48,461
  6. Step 6: Final answer
    x = 19,383.66

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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.