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Finding the Fourth Proportional to 5,315.32, 7,970.06 and 4,079.64

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Solution

The fourth proportional to 5,315.32, 7,970.06 and 4,079.64 is: 6,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.32 : 7,970.06 = 4,079.64 : x
  2. Step 2: Convert to fraction form
    5,315.32/7,970.06 = 4,079.64/x
  3. Step 3: Cross multiply
    5,315.32x = 7,970.06 × 4,079.64
  4. Step 4: Simplify right side
    5,315.32x = 32,514,975.58
  5. Step 5: Solve for x
    x = 32,514,975.58/5,315.32
  6. Step 6: Final answer
    x = 6,117.22

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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.