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Finding the Fourth Proportional to 7,920.06, 10,923.03 and 6,870.30

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Solution

The fourth proportional to 7,920.06, 10,923.03 and 6,870.30 is: 9,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.06 : 10,923.03 = 6,870.30 : x
  2. Step 2: Convert to fraction form
    7,920.06/10,923.03 = 6,870.30/x
  3. Step 3: Cross multiply
    7,920.06x = 10,923.03 × 6,870.30
  4. Step 4: Simplify right side
    7,920.06x = 75,044,493.01
  5. Step 5: Solve for x
    x = 75,044,493.01/7,920.06
  6. Step 6: Final answer
    x = 9,475.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.