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Finding the Fourth Proportional to 12,989.84, 19,466.82 and 7,431.46

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Solution

The fourth proportional to 12,989.84, 19,466.82 and 7,431.46 is: 11,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.84 : 19,466.82 = 7,431.46 : x
  2. Step 2: Convert to fraction form
    12,989.84/19,466.82 = 7,431.46/x
  3. Step 3: Cross multiply
    12,989.84x = 19,466.82 × 7,431.46
  4. Step 4: Simplify right side
    12,989.84x = 144,666,894.16
  5. Step 5: Solve for x
    x = 144,666,894.16/12,989.84
  6. Step 6: Final answer
    x = 11,136.93

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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.