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Finding the Fourth Proportional to 6,431.42, 8,875.71 and 3,913.13

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Solution

The fourth proportional to 6,431.42, 8,875.71 and 3,913.13 is: 5,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.42 : 8,875.71 = 3,913.13 : x
  2. Step 2: Convert to fraction form
    6,431.42/8,875.71 = 3,913.13/x
  3. Step 3: Cross multiply
    6,431.42x = 8,875.71 × 3,913.13
  4. Step 4: Simplify right side
    6,431.42x = 34,731,829.26
  5. Step 5: Solve for x
    x = 34,731,829.26/6,431.42
  6. Step 6: Final answer
    x = 5,400.33

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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.