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Finding the Fourth Proportional to 7,705.60, 10,628.16 and 4,912

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Solution

The fourth proportional to 7,705.60, 10,628.16 and 4,912 is: 6,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.60 : 10,628.16 = 4,912 : x
  2. Step 2: Convert to fraction form
    7,705.60/10,628.16 = 4,912/x
  3. Step 3: Cross multiply
    7,705.60x = 10,628.16 × 4,912
  4. Step 4: Simplify right side
    7,705.60x = 52,205,521.92
  5. Step 5: Solve for x
    x = 52,205,521.92/7,705.60
  6. Step 6: Final answer
    x = 6,775.01

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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.