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Finding the Fourth Proportional to 2,919.30, 4,379.65 and 971.52

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Solution

The fourth proportional to 2,919.30, 4,379.65 and 971.52 is: 1,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.30 : 4,379.65 = 971.52 : x
  2. Step 2: Convert to fraction form
    2,919.30/4,379.65 = 971.52/x
  3. Step 3: Cross multiply
    2,919.30x = 4,379.65 × 971.52
  4. Step 4: Simplify right side
    2,919.30x = 4,254,915.14
  5. Step 5: Solve for x
    x = 4,254,915.14/2,919.30
  6. Step 6: Final answer
    x = 1,457.51

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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.