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Finding the Fourth Proportional to 10,575, 15,863.40 and 2,783.84

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Solution

The fourth proportional to 10,575, 15,863.40 and 2,783.84 is: 4,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575 : 15,863.40 = 2,783.84 : x
  2. Step 2: Convert to fraction form
    10,575/15,863.40 = 2,783.84/x
  3. Step 3: Cross multiply
    10,575x = 15,863.40 × 2,783.84
  4. Step 4: Simplify right side
    10,575x = 44,161,088.14
  5. Step 5: Solve for x
    x = 44,161,088.14/10,575
  6. Step 6: Final answer
    x = 4,175.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.