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Finding the Fourth Proportional to 19,698.49, 29,506.69 and 9,807.76

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Solution

The fourth proportional to 19,698.49, 29,506.69 and 9,807.76 is: 14,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.49 : 29,506.69 = 9,807.76 : x
  2. Step 2: Convert to fraction form
    19,698.49/29,506.69 = 9,807.76/x
  3. Step 3: Cross multiply
    19,698.49x = 29,506.69 × 9,807.76
  4. Step 4: Simplify right side
    19,698.49x = 289,394,533.91
  5. Step 5: Solve for x
    x = 289,394,533.91/19,698.49
  6. Step 6: Final answer
    x = 14,691.20

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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.