Home / 2,013.04-3,019.20-780.16

Finding the Fourth Proportional to 2,013.04, 3,019.20 and 780.16

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Solution

The fourth proportional to 2,013.04, 3,019.20 and 780.16 is: 1,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.04 : 3,019.20 = 780.16 : x
  2. Step 2: Convert to fraction form
    2,013.04/3,019.20 = 780.16/x
  3. Step 3: Cross multiply
    2,013.04x = 3,019.20 × 780.16
  4. Step 4: Simplify right side
    2,013.04x = 2,355,459.07
  5. Step 5: Solve for x
    x = 2,355,459.07/2,013.04
  6. Step 6: Final answer
    x = 1,170.10

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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.