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Finding the Fourth Proportional to 6,507, 9,705.66 and 5,454.80

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Solution

The fourth proportional to 6,507, 9,705.66 and 5,454.80 is: 8,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507 : 9,705.66 = 5,454.80 : x
  2. Step 2: Convert to fraction form
    6,507/9,705.66 = 5,454.80/x
  3. Step 3: Cross multiply
    6,507x = 9,705.66 × 5,454.80
  4. Step 4: Simplify right side
    6,507x = 52,942,434.17
  5. Step 5: Solve for x
    x = 52,942,434.17/6,507
  6. Step 6: Final answer
    x = 8,136.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.