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Finding the Fourth Proportional to 10,289.60, 15,405.60 and 10,001.60

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Solution

The fourth proportional to 10,289.60, 15,405.60 and 10,001.60 is: 14,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.60 : 15,405.60 = 10,001.60 : x
  2. Step 2: Convert to fraction form
    10,289.60/15,405.60 = 10,001.60/x
  3. Step 3: Cross multiply
    10,289.60x = 15,405.60 × 10,001.60
  4. Step 4: Simplify right side
    10,289.60x = 154,080,648.96
  5. Step 5: Solve for x
    x = 154,080,648.96/10,289.60
  6. Step 6: Final answer
    x = 14,974.41

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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.