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Finding the Fourth Proportional to 7,577.88, 10,457.28 and 7,354.32

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Solution

The fourth proportional to 7,577.88, 10,457.28 and 7,354.32 is: 10,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.88 : 10,457.28 = 7,354.32 : x
  2. Step 2: Convert to fraction form
    7,577.88/10,457.28 = 7,354.32/x
  3. Step 3: Cross multiply
    7,577.88x = 10,457.28 × 7,354.32
  4. Step 4: Simplify right side
    7,577.88x = 76,906,183.45
  5. Step 5: Solve for x
    x = 76,906,183.45/7,577.88
  6. Step 6: Final answer
    x = 10,148.77

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Double scale
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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.