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Finding the Fourth Proportional to 10,572, 15,863.84 and 5,894.64

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Solution

The fourth proportional to 10,572, 15,863.84 and 5,894.64 is: 8,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572 : 15,863.84 = 5,894.64 : x
  2. Step 2: Convert to fraction form
    10,572/15,863.84 = 5,894.64/x
  3. Step 3: Cross multiply
    10,572x = 15,863.84 × 5,894.64
  4. Step 4: Simplify right side
    10,572x = 93,511,596.34
  5. Step 5: Solve for x
    x = 93,511,596.34/10,572
  6. Step 6: Final answer
    x = 8,845.21

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1.5x scale

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.