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Finding the Fourth Proportional to 12,278.67, 16,946.16 and 7,497.60

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Solution

The fourth proportional to 12,278.67, 16,946.16 and 7,497.60 is: 10,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.67 : 16,946.16 = 7,497.60 : x
  2. Step 2: Convert to fraction form
    12,278.67/16,946.16 = 7,497.60/x
  3. Step 3: Cross multiply
    12,278.67x = 16,946.16 × 7,497.60
  4. Step 4: Simplify right side
    12,278.67x = 127,055,529.22
  5. Step 5: Solve for x
    x = 127,055,529.22/12,278.67
  6. Step 6: Final answer
    x = 10,347.66

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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.