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Finding the Fourth Proportional to 5,614.34, 8,430.93 and 5,390.86

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Solution

The fourth proportional to 5,614.34, 8,430.93 and 5,390.86 is: 8,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.34 : 8,430.93 = 5,390.86 : x
  2. Step 2: Convert to fraction form
    5,614.34/8,430.93 = 5,390.86/x
  3. Step 3: Cross multiply
    5,614.34x = 8,430.93 × 5,390.86
  4. Step 4: Simplify right side
    5,614.34x = 45,449,963.30
  5. Step 5: Solve for x
    x = 45,449,963.30/5,614.34
  6. Step 6: Final answer
    x = 8,095.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.