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Finding the Fourth Proportional to 10,012.80, 15,019.20 and 9,364.80

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Solution

The fourth proportional to 10,012.80, 15,019.20 and 9,364.80 is: 14,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.80 : 15,019.20 = 9,364.80 : x
  2. Step 2: Convert to fraction form
    10,012.80/15,019.20 = 9,364.80/x
  3. Step 3: Cross multiply
    10,012.80x = 15,019.20 × 9,364.80
  4. Step 4: Simplify right side
    10,012.80x = 140,651,804.16
  5. Step 5: Solve for x
    x = 140,651,804.16/10,012.80
  6. Step 6: Final answer
    x = 14,047.20

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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.