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Finding the Fourth Proportional to 7,893, 10,857.60 and 7,573.32

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Solution

The fourth proportional to 7,893, 10,857.60 and 7,573.32 is: 10,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893 : 10,857.60 = 7,573.32 : x
  2. Step 2: Convert to fraction form
    7,893/10,857.60 = 7,573.32/x
  3. Step 3: Cross multiply
    7,893x = 10,857.60 × 7,573.32
  4. Step 4: Simplify right side
    7,893x = 82,228,079.23
  5. Step 5: Solve for x
    x = 82,228,079.23/7,893
  6. Step 6: Final answer
    x = 10,417.85

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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.