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Finding the Fourth Proportional to 10,401.80, 15,570.30 and 10,077.80

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Solution

The fourth proportional to 10,401.80, 15,570.30 and 10,077.80 is: 15,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.80 : 15,570.30 = 10,077.80 : x
  2. Step 2: Convert to fraction form
    10,401.80/15,570.30 = 10,077.80/x
  3. Step 3: Cross multiply
    10,401.80x = 15,570.30 × 10,077.80
  4. Step 4: Simplify right side
    10,401.80x = 156,914,369.34
  5. Step 5: Solve for x
    x = 156,914,369.34/10,401.80
  6. Step 6: Final answer
    x = 15,085.31

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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.