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Finding the Fourth Proportional to 10,405.40, 15,575.70 and 6,009.80

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Solution

The fourth proportional to 10,405.40, 15,575.70 and 6,009.80 is: 8,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.40 : 15,575.70 = 6,009.80 : x
  2. Step 2: Convert to fraction form
    10,405.40/15,575.70 = 6,009.80/x
  3. Step 3: Cross multiply
    10,405.40x = 15,575.70 × 6,009.80
  4. Step 4: Simplify right side
    10,405.40x = 93,606,841.86
  5. Step 5: Solve for x
    x = 93,606,841.86/10,405.40
  6. Step 6: Final answer
    x = 8,995.99

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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.