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Finding the Fourth Proportional to 6,938.55, 10,430.84 and 6,424.92

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Solution

The fourth proportional to 6,938.55, 10,430.84 and 6,424.92 is: 9,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.55 : 10,430.84 = 6,424.92 : x
  2. Step 2: Convert to fraction form
    6,938.55/10,430.84 = 6,424.92/x
  3. Step 3: Cross multiply
    6,938.55x = 10,430.84 × 6,424.92
  4. Step 4: Simplify right side
    6,938.55x = 67,017,328.60
  5. Step 5: Solve for x
    x = 67,017,328.60/6,938.55
  6. Step 6: Final answer
    x = 9,658.69

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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.