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Finding the Fourth Proportional to 12,307.51, 16,987.27 and 7,205.40

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Solution

The fourth proportional to 12,307.51, 16,987.27 and 7,205.40 is: 9,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.51 : 16,987.27 = 7,205.40 : x
  2. Step 2: Convert to fraction form
    12,307.51/16,987.27 = 7,205.40/x
  3. Step 3: Cross multiply
    12,307.51x = 16,987.27 × 7,205.40
  4. Step 4: Simplify right side
    12,307.51x = 122,399,982.26
  5. Step 5: Solve for x
    x = 122,399,982.26/12,307.51
  6. Step 6: Final answer
    x = 9,945.14

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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.