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Finding the Fourth Proportional to 12,897.74, 19,352.09 and 7,047.52

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Solution

The fourth proportional to 12,897.74, 19,352.09 and 7,047.52 is: 10,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.74 : 19,352.09 = 7,047.52 : x
  2. Step 2: Convert to fraction form
    12,897.74/19,352.09 = 7,047.52/x
  3. Step 3: Cross multiply
    12,897.74x = 19,352.09 × 7,047.52
  4. Step 4: Simplify right side
    12,897.74x = 136,384,109.32
  5. Step 5: Solve for x
    x = 136,384,109.32/12,897.74
  6. Step 6: Final answer
    x = 10,574.26

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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.