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Finding the Fourth Proportional to 6,402.42, 9,603.63 and 2,020.32

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Solution

The fourth proportional to 6,402.42, 9,603.63 and 2,020.32 is: 3,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.42 : 9,603.63 = 2,020.32 : x
  2. Step 2: Convert to fraction form
    6,402.42/9,603.63 = 2,020.32/x
  3. Step 3: Cross multiply
    6,402.42x = 9,603.63 × 2,020.32
  4. Step 4: Simplify right side
    6,402.42x = 19,402,405.76
  5. Step 5: Solve for x
    x = 19,402,405.76/6,402.42
  6. Step 6: Final answer
    x = 3,030.48

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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.