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Finding the Fourth Proportional to 20,254, 30,386.40 and 6,403

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Solution

The fourth proportional to 20,254, 30,386.40 and 6,403 is: 9,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254 : 30,386.40 = 6,403 : x
  2. Step 2: Convert to fraction form
    20,254/30,386.40 = 6,403/x
  3. Step 3: Cross multiply
    20,254x = 30,386.40 × 6,403
  4. Step 4: Simplify right side
    20,254x = 194,564,119.20
  5. Step 5: Solve for x
    x = 194,564,119.20/20,254
  6. Step 6: Final answer
    x = 9,606.21

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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.