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Finding the Fourth Proportional to 15,643.34, 21,582.53 and 8,924.24

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Solution

The fourth proportional to 15,643.34, 21,582.53 and 8,924.24 is: 12,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.34 : 21,582.53 = 8,924.24 : x
  2. Step 2: Convert to fraction form
    15,643.34/21,582.53 = 8,924.24/x
  3. Step 3: Cross multiply
    15,643.34x = 21,582.53 × 8,924.24
  4. Step 4: Simplify right side
    15,643.34x = 192,607,524.99
  5. Step 5: Solve for x
    x = 192,607,524.99/15,643.34
  6. Step 6: Final answer
    x = 12,312.43

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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.