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Finding the Fourth Proportional to 6,421.98, 9,654.93 and 5,941.02

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Solution

The fourth proportional to 6,421.98, 9,654.93 and 5,941.02 is: 8,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.98 : 9,654.93 = 5,941.02 : x
  2. Step 2: Convert to fraction form
    6,421.98/9,654.93 = 5,941.02/x
  3. Step 3: Cross multiply
    6,421.98x = 9,654.93 × 5,941.02
  4. Step 4: Simplify right side
    6,421.98x = 57,360,132.23
  5. Step 5: Solve for x
    x = 57,360,132.23/6,421.98
  6. Step 6: Final answer
    x = 8,931.85

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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.