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Finding the Fourth Proportional to 6,590.80, 9,907.80 and 4,656.40

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Solution

The fourth proportional to 6,590.80, 9,907.80 and 4,656.40 is: 6,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.80 : 9,907.80 = 4,656.40 : x
  2. Step 2: Convert to fraction form
    6,590.80/9,907.80 = 4,656.40/x
  3. Step 3: Cross multiply
    6,590.80x = 9,907.80 × 4,656.40
  4. Step 4: Simplify right side
    6,590.80x = 46,134,679.92
  5. Step 5: Solve for x
    x = 46,134,679.92/6,590.80
  6. Step 6: Final answer
    x = 6,999.86

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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.