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Finding the Fourth Proportional to 7,646.49, 10,549.80 and 4,288.86

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Solution

The fourth proportional to 7,646.49, 10,549.80 and 4,288.86 is: 5,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.49 : 10,549.80 = 4,288.86 : x
  2. Step 2: Convert to fraction form
    7,646.49/10,549.80 = 4,288.86/x
  3. Step 3: Cross multiply
    7,646.49x = 10,549.80 × 4,288.86
  4. Step 4: Simplify right side
    7,646.49x = 45,246,615.23
  5. Step 5: Solve for x
    x = 45,246,615.23/7,646.49
  6. Step 6: Final answer
    x = 5,917.31

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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.