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Finding the Fourth Proportional to 15,763.68, 21,764.01 and 9,803.46

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Solution

The fourth proportional to 15,763.68, 21,764.01 and 9,803.46 is: 13,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.68 : 21,764.01 = 9,803.46 : x
  2. Step 2: Convert to fraction form
    15,763.68/21,764.01 = 9,803.46/x
  3. Step 3: Cross multiply
    15,763.68x = 21,764.01 × 9,803.46
  4. Step 4: Simplify right side
    15,763.68x = 213,362,601.47
  5. Step 5: Solve for x
    x = 213,362,601.47/15,763.68
  6. Step 6: Final answer
    x = 13,535.08

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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.