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Finding the Fourth Proportional to 2,870.16, 4,304.70 and 790.26

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Solution

The fourth proportional to 2,870.16, 4,304.70 and 790.26 is: 1,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.16 : 4,304.70 = 790.26 : x
  2. Step 2: Convert to fraction form
    2,870.16/4,304.70 = 790.26/x
  3. Step 3: Cross multiply
    2,870.16x = 4,304.70 × 790.26
  4. Step 4: Simplify right side
    2,870.16x = 3,401,832.22
  5. Step 5: Solve for x
    x = 3,401,832.22/2,870.16
  6. Step 6: Final answer
    x = 1,185.24

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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.