Home / 3,160-4,737.98-1,312.39

Finding the Fourth Proportional to 3,160, 4,737.98 and 1,312.39

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Solution

The fourth proportional to 3,160, 4,737.98 and 1,312.39 is: 1,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160 : 4,737.98 = 1,312.39 : x
  2. Step 2: Convert to fraction form
    3,160/4,737.98 = 1,312.39/x
  3. Step 3: Cross multiply
    3,160x = 4,737.98 × 1,312.39
  4. Step 4: Simplify right side
    3,160x = 6,218,077.57
  5. Step 5: Solve for x
    x = 6,218,077.57/3,160
  6. Step 6: Final answer
    x = 1,967.75

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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.