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Finding the Fourth Proportional to 15,920.10, 21,970.71 and 8,846.46

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Solution

The fourth proportional to 15,920.10, 21,970.71 and 8,846.46 is: 12,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.10 : 21,970.71 = 8,846.46 : x
  2. Step 2: Convert to fraction form
    15,920.10/21,970.71 = 8,846.46/x
  3. Step 3: Cross multiply
    15,920.10x = 21,970.71 × 8,846.46
  4. Step 4: Simplify right side
    15,920.10x = 194,363,007.19
  5. Step 5: Solve for x
    x = 194,363,007.19/15,920.10
  6. Step 6: Final answer
    x = 12,208.65

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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.