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Finding the Fourth Proportional to 12,886.70, 17,785.13 and 7,222.98

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Solution

The fourth proportional to 12,886.70, 17,785.13 and 7,222.98 is: 9,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.70 : 17,785.13 = 7,222.98 : x
  2. Step 2: Convert to fraction form
    12,886.70/17,785.13 = 7,222.98/x
  3. Step 3: Cross multiply
    12,886.70x = 17,785.13 × 7,222.98
  4. Step 4: Simplify right side
    12,886.70x = 128,461,602.17
  5. Step 5: Solve for x
    x = 128,461,602.17/12,886.70
  6. Step 6: Final answer
    x = 9,968.54

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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.