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Finding the Fourth Proportional to 15,494.91, 21,386.07 and 9,836.40

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Solution

The fourth proportional to 15,494.91, 21,386.07 and 9,836.40 is: 13,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.91 : 21,386.07 = 9,836.40 : x
  2. Step 2: Convert to fraction form
    15,494.91/21,386.07 = 9,836.40/x
  3. Step 3: Cross multiply
    15,494.91x = 21,386.07 × 9,836.40
  4. Step 4: Simplify right side
    15,494.91x = 210,361,938.95
  5. Step 5: Solve for x
    x = 210,361,938.95/15,494.91
  6. Step 6: Final answer
    x = 13,576.20

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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.