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Finding the Fourth Proportional to 19,681.28, 29,511.04 and 7,823.04

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Solution

The fourth proportional to 19,681.28, 29,511.04 and 7,823.04 is: 11,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.28 : 29,511.04 = 7,823.04 : x
  2. Step 2: Convert to fraction form
    19,681.28/29,511.04 = 7,823.04/x
  3. Step 3: Cross multiply
    19,681.28x = 29,511.04 × 7,823.04
  4. Step 4: Simplify right side
    19,681.28x = 230,866,046.36
  5. Step 5: Solve for x
    x = 230,866,046.36/19,681.28
  6. Step 6: Final answer
    x = 11,730.24

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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.