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Finding the Fourth Proportional to 15,553.63, 21,464 and 9,964.63

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Solution

The fourth proportional to 15,553.63, 21,464 and 9,964.63 is: 13,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,553.63 : 21,464 = 9,964.63 : x
  2. Step 2: Convert to fraction form
    15,553.63/21,464 = 9,964.63/x
  3. Step 3: Cross multiply
    15,553.63x = 21,464 × 9,964.63
  4. Step 4: Simplify right side
    15,553.63x = 213,880,818.32
  5. Step 5: Solve for x
    x = 213,880,818.32/15,553.63
  6. Step 6: Final answer
    x = 13,751.18

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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.