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Finding the Fourth Proportional to 6,870.76, 9,478.02 and 4,882.12

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Solution

The fourth proportional to 6,870.76, 9,478.02 and 4,882.12 is: 6,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.76 : 9,478.02 = 4,882.12 : x
  2. Step 2: Convert to fraction form
    6,870.76/9,478.02 = 4,882.12/x
  3. Step 3: Cross multiply
    6,870.76x = 9,478.02 × 4,882.12
  4. Step 4: Simplify right side
    6,870.76x = 46,272,831.00
  5. Step 5: Solve for x
    x = 46,272,831.00/6,870.76
  6. Step 6: Final answer
    x = 6,734.75

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Half scale
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Double scale
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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.