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Finding the Fourth Proportional to 20,258, 30,386.04 and 6,405.20

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Solution

The fourth proportional to 20,258, 30,386.04 and 6,405.20 is: 9,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258 : 30,386.04 = 6,405.20 : x
  2. Step 2: Convert to fraction form
    20,258/30,386.04 = 6,405.20/x
  3. Step 3: Cross multiply
    20,258x = 30,386.04 × 6,405.20
  4. Step 4: Simplify right side
    20,258x = 194,628,663.41
  5. Step 5: Solve for x
    x = 194,628,663.41/20,258
  6. Step 6: Final answer
    x = 9,607.50

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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.