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Finding the Fourth Proportional to 7,681.15, 11,510.90 and 6,114.19

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Solution

The fourth proportional to 7,681.15, 11,510.90 and 6,114.19 is: 9,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.15 : 11,510.90 = 6,114.19 : x
  2. Step 2: Convert to fraction form
    7,681.15/11,510.90 = 6,114.19/x
  3. Step 3: Cross multiply
    7,681.15x = 11,510.90 × 6,114.19
  4. Step 4: Simplify right side
    7,681.15x = 70,379,772.12
  5. Step 5: Solve for x
    x = 70,379,772.12/7,681.15
  6. Step 6: Final answer
    x = 9,162.66

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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.