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Finding the Fourth Proportional to 20,802.60, 31,203.90 and 7,655.40

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Solution

The fourth proportional to 20,802.60, 31,203.90 and 7,655.40 is: 11,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.60 : 31,203.90 = 7,655.40 : x
  2. Step 2: Convert to fraction form
    20,802.60/31,203.90 = 7,655.40/x
  3. Step 3: Cross multiply
    20,802.60x = 31,203.90 × 7,655.40
  4. Step 4: Simplify right side
    20,802.60x = 238,878,336.06
  5. Step 5: Solve for x
    x = 238,878,336.06/20,802.60
  6. Step 6: Final answer
    x = 11,483.10

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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.