Home / 3,164.19-4,746.35-972.87

Finding the Fourth Proportional to 3,164.19, 4,746.35 and 972.87

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Solution

The fourth proportional to 3,164.19, 4,746.35 and 972.87 is: 1,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.19 : 4,746.35 = 972.87 : x
  2. Step 2: Convert to fraction form
    3,164.19/4,746.35 = 972.87/x
  3. Step 3: Cross multiply
    3,164.19x = 4,746.35 × 972.87
  4. Step 4: Simplify right side
    3,164.19x = 4,617,581.52
  5. Step 5: Solve for x
    x = 4,617,581.52/3,164.19
  6. Step 6: Final answer
    x = 1,459.32

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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.