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Finding the Fourth Proportional to 7,928, 10,935.84 and 6,590.08

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Solution

The fourth proportional to 7,928, 10,935.84 and 6,590.08 is: 9,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928 : 10,935.84 = 6,590.08 : x
  2. Step 2: Convert to fraction form
    7,928/10,935.84 = 6,590.08/x
  3. Step 3: Cross multiply
    7,928x = 10,935.84 × 6,590.08
  4. Step 4: Simplify right side
    7,928x = 72,068,060.47
  5. Step 5: Solve for x
    x = 72,068,060.47/7,928
  6. Step 6: Final answer
    x = 9,090.32

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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.