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Finding the Fourth Proportional to 6,510.93, 9,766.40 and 1,580.57

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Solution

The fourth proportional to 6,510.93, 9,766.40 and 1,580.57 is: 2,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.93 : 9,766.40 = 1,580.57 : x
  2. Step 2: Convert to fraction form
    6,510.93/9,766.40 = 1,580.57/x
  3. Step 3: Cross multiply
    6,510.93x = 9,766.40 × 1,580.57
  4. Step 4: Simplify right side
    6,510.93x = 15,436,495.36
  5. Step 5: Solve for x
    x = 15,436,495.36/6,510.93
  6. Step 6: Final answer
    x = 2,370.86

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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.