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Finding the Fourth Proportional to 15,783.68, 21,780.63 and 9,815.18

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Solution

The fourth proportional to 15,783.68, 21,780.63 and 9,815.18 is: 13,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.68 : 21,780.63 = 9,815.18 : x
  2. Step 2: Convert to fraction form
    15,783.68/21,780.63 = 9,815.18/x
  3. Step 3: Cross multiply
    15,783.68x = 21,780.63 × 9,815.18
  4. Step 4: Simplify right side
    15,783.68x = 213,780,803.96
  5. Step 5: Solve for x
    x = 213,780,803.96/15,783.68
  6. Step 6: Final answer
    x = 13,544.42

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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.