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Finding the Fourth Proportional to 7,577.91, 10,449.16 and 5,188.28

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Solution

The fourth proportional to 7,577.91, 10,449.16 and 5,188.28 is: 7,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.91 : 10,449.16 = 5,188.28 : x
  2. Step 2: Convert to fraction form
    7,577.91/10,449.16 = 5,188.28/x
  3. Step 3: Cross multiply
    7,577.91x = 10,449.16 × 5,188.28
  4. Step 4: Simplify right side
    7,577.91x = 54,213,102.63
  5. Step 5: Solve for x
    x = 54,213,102.63/7,577.91
  6. Step 6: Final answer
    x = 7,154.10

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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.