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Finding the Fourth Proportional to 13,001.31, 17,946.36 and 8,284.68

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Solution

The fourth proportional to 13,001.31, 17,946.36 and 8,284.68 is: 11,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.31 : 17,946.36 = 8,284.68 : x
  2. Step 2: Convert to fraction form
    13,001.31/17,946.36 = 8,284.68/x
  3. Step 3: Cross multiply
    13,001.31x = 17,946.36 × 8,284.68
  4. Step 4: Simplify right side
    13,001.31x = 148,679,849.76
  5. Step 5: Solve for x
    x = 148,679,849.76/13,001.31
  6. Step 6: Final answer
    x = 11,435.76

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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.