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Finding the Fourth Proportional to 12,509.47, 17,267.40 and 7,206.40

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Solution

The fourth proportional to 12,509.47, 17,267.40 and 7,206.40 is: 9,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.47 : 17,267.40 = 7,206.40 : x
  2. Step 2: Convert to fraction form
    12,509.47/17,267.40 = 7,206.40/x
  3. Step 3: Cross multiply
    12,509.47x = 17,267.40 × 7,206.40
  4. Step 4: Simplify right side
    12,509.47x = 124,435,791.36
  5. Step 5: Solve for x
    x = 124,435,791.36/12,509.47
  6. Step 6: Final answer
    x = 9,947.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.