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Finding the Fourth Proportional to 12,698.10, 19,047.15 and 9,782.10

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Solution

The fourth proportional to 12,698.10, 19,047.15 and 9,782.10 is: 14,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.10 : 19,047.15 = 9,782.10 : x
  2. Step 2: Convert to fraction form
    12,698.10/19,047.15 = 9,782.10/x
  3. Step 3: Cross multiply
    12,698.10x = 19,047.15 × 9,782.10
  4. Step 4: Simplify right side
    12,698.10x = 186,321,126.02
  5. Step 5: Solve for x
    x = 186,321,126.02/12,698.10
  6. Step 6: Final answer
    x = 14,673.15

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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.