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Finding the Fourth Proportional to 5,435.68, 7,500.21 and 5,158.86

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Solution

The fourth proportional to 5,435.68, 7,500.21 and 5,158.86 is: 7,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.68 : 7,500.21 = 5,158.86 : x
  2. Step 2: Convert to fraction form
    5,435.68/7,500.21 = 5,158.86/x
  3. Step 3: Cross multiply
    5,435.68x = 7,500.21 × 5,158.86
  4. Step 4: Simplify right side
    5,435.68x = 38,692,514.01
  5. Step 5: Solve for x
    x = 38,692,514.01/5,435.68
  6. Step 6: Final answer
    x = 7,118.25

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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.