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Finding the Fourth Proportional to 15,814.16, 21,820.44 and 9,526.88

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Solution

The fourth proportional to 15,814.16, 21,820.44 and 9,526.88 is: 13,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.16 : 21,820.44 = 9,526.88 : x
  2. Step 2: Convert to fraction form
    15,814.16/21,820.44 = 9,526.88/x
  3. Step 3: Cross multiply
    15,814.16x = 21,820.44 × 9,526.88
  4. Step 4: Simplify right side
    15,814.16x = 207,880,713.43
  5. Step 5: Solve for x
    x = 207,880,713.43/15,814.16
  6. Step 6: Final answer
    x = 13,145.23

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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.