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Finding the Fourth Proportional to 15,800.71, 21,809.18 and 9,828.98

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Solution

The fourth proportional to 15,800.71, 21,809.18 and 9,828.98 is: 13,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.71 : 21,809.18 = 9,828.98 : x
  2. Step 2: Convert to fraction form
    15,800.71/21,809.18 = 9,828.98/x
  3. Step 3: Cross multiply
    15,800.71x = 21,809.18 × 9,828.98
  4. Step 4: Simplify right side
    15,800.71x = 214,361,994.04
  5. Step 5: Solve for x
    x = 214,361,994.04/15,800.71
  6. Step 6: Final answer
    x = 13,566.61

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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.