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Finding the Fourth Proportional to 15,681.63, 21,650.79 and 9,719.64

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Solution

The fourth proportional to 15,681.63, 21,650.79 and 9,719.64 is: 13,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.63 : 21,650.79 = 9,719.64 : x
  2. Step 2: Convert to fraction form
    15,681.63/21,650.79 = 9,719.64/x
  3. Step 3: Cross multiply
    15,681.63x = 21,650.79 × 9,719.64
  4. Step 4: Simplify right side
    15,681.63x = 210,437,884.52
  5. Step 5: Solve for x
    x = 210,437,884.52/15,681.63
  6. Step 6: Final answer
    x = 13,419.39

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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.