Home / 2,407.80-3,612.51-947.10

Finding the Fourth Proportional to 2,407.80, 3,612.51 and 947.10

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Solution

The fourth proportional to 2,407.80, 3,612.51 and 947.10 is: 1,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.80 : 3,612.51 = 947.10 : x
  2. Step 2: Convert to fraction form
    2,407.80/3,612.51 = 947.10/x
  3. Step 3: Cross multiply
    2,407.80x = 3,612.51 × 947.10
  4. Step 4: Simplify right side
    2,407.80x = 3,421,408.22
  5. Step 5: Solve for x
    x = 3,421,408.22/2,407.80
  6. Step 6: Final answer
    x = 1,420.97

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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.