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Finding the Fourth Proportional to 19,787.99, 29,681.73 and 7,947

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Solution

The fourth proportional to 19,787.99, 29,681.73 and 7,947 is: 11,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.99 : 29,681.73 = 7,947 : x
  2. Step 2: Convert to fraction form
    19,787.99/29,681.73 = 7,947/x
  3. Step 3: Cross multiply
    19,787.99x = 29,681.73 × 7,947
  4. Step 4: Simplify right side
    19,787.99x = 235,880,708.31
  5. Step 5: Solve for x
    x = 235,880,708.31/19,787.99
  6. Step 6: Final answer
    x = 11,920.40

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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.