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Finding the Fourth Proportional to 14,643.50, 21,970.34 and 10,644.63

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Solution

The fourth proportional to 14,643.50, 21,970.34 and 10,644.63 is: 15,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.50 : 21,970.34 = 10,644.63 : x
  2. Step 2: Convert to fraction form
    14,643.50/21,970.34 = 10,644.63/x
  3. Step 3: Cross multiply
    14,643.50x = 21,970.34 × 10,644.63
  4. Step 4: Simplify right side
    14,643.50x = 233,866,087.05
  5. Step 5: Solve for x
    x = 233,866,087.05/14,643.50
  6. Step 6: Final answer
    x = 15,970.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.