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Finding the Fourth Proportional to 6,412.78, 9,602.83 and 5,428.63

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Solution

The fourth proportional to 6,412.78, 9,602.83 and 5,428.63 is: 8,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.78 : 9,602.83 = 5,428.63 : x
  2. Step 2: Convert to fraction form
    6,412.78/9,602.83 = 5,428.63/x
  3. Step 3: Cross multiply
    6,412.78x = 9,602.83 × 5,428.63
  4. Step 4: Simplify right side
    6,412.78x = 52,130,211.02
  5. Step 5: Solve for x
    x = 52,130,211.02/6,412.78
  6. Step 6: Final answer
    x = 8,129.11

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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.