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Finding the Fourth Proportional to 5,205.57, 7,808.35 and 1,507.80

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Solution

The fourth proportional to 5,205.57, 7,808.35 and 1,507.80 is: 2,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.57 : 7,808.35 = 1,507.80 : x
  2. Step 2: Convert to fraction form
    5,205.57/7,808.35 = 1,507.80/x
  3. Step 3: Cross multiply
    5,205.57x = 7,808.35 × 1,507.80
  4. Step 4: Simplify right side
    5,205.57x = 11,773,420.18
  5. Step 5: Solve for x
    x = 11,773,420.18/5,205.57
  6. Step 6: Final answer
    x = 2,261.70

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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.