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Finding the Fourth Proportional to 6,510.79, 9,765.78 and 2,810.42

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Solution

The fourth proportional to 6,510.79, 9,765.78 and 2,810.42 is: 4,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.79 : 9,765.78 = 2,810.42 : x
  2. Step 2: Convert to fraction form
    6,510.79/9,765.78 = 2,810.42/x
  3. Step 3: Cross multiply
    6,510.79x = 9,765.78 × 2,810.42
  4. Step 4: Simplify right side
    6,510.79x = 27,445,943.43
  5. Step 5: Solve for x
    x = 27,445,943.43/6,510.79
  6. Step 6: Final answer
    x = 4,215.46

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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.