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Finding the Fourth Proportional to 4,970.88, 7,455.36 and 1,892.16

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Solution

The fourth proportional to 4,970.88, 7,455.36 and 1,892.16 is: 2,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.88 : 7,455.36 = 1,892.16 : x
  2. Step 2: Convert to fraction form
    4,970.88/7,455.36 = 1,892.16/x
  3. Step 3: Cross multiply
    4,970.88x = 7,455.36 × 1,892.16
  4. Step 4: Simplify right side
    4,970.88x = 14,106,733.98
  5. Step 5: Solve for x
    x = 14,106,733.98/4,970.88
  6. Step 6: Final answer
    x = 2,837.87

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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.