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Finding the Fourth Proportional to 6,510.84, 9,000.09 and 5,809.64

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Solution

The fourth proportional to 6,510.84, 9,000.09 and 5,809.64 is: 8,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.84 : 9,000.09 = 5,809.64 : x
  2. Step 2: Convert to fraction form
    6,510.84/9,000.09 = 5,809.64/x
  3. Step 3: Cross multiply
    6,510.84x = 9,000.09 × 5,809.64
  4. Step 4: Simplify right side
    6,510.84x = 52,287,237.87
  5. Step 5: Solve for x
    x = 52,287,237.87/6,510.84
  6. Step 6: Final answer
    x = 8,030.80

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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.