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Finding the Fourth Proportional to 7,646.91, 10,553.54 and 4,290.63

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Solution

The fourth proportional to 7,646.91, 10,553.54 and 4,290.63 is: 5,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.91 : 10,553.54 = 4,290.63 : x
  2. Step 2: Convert to fraction form
    7,646.91/10,553.54 = 4,290.63/x
  3. Step 3: Cross multiply
    7,646.91x = 10,553.54 × 4,290.63
  4. Step 4: Simplify right side
    7,646.91x = 45,281,313.88
  5. Step 5: Solve for x
    x = 45,281,313.88/7,646.91
  6. Step 6: Final answer
    x = 5,921.52

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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.