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Finding the Fourth Proportional to 9,595.80, 14,395.73 and 5,437.80

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Solution

The fourth proportional to 9,595.80, 14,395.73 and 5,437.80 is: 8,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.80 : 14,395.73 = 5,437.80 : x
  2. Step 2: Convert to fraction form
    9,595.80/14,395.73 = 5,437.80/x
  3. Step 3: Cross multiply
    9,595.80x = 14,395.73 × 5,437.80
  4. Step 4: Simplify right side
    9,595.80x = 78,281,073.41
  5. Step 5: Solve for x
    x = 78,281,073.41/9,595.80
  6. Step 6: Final answer
    x = 8,157.85

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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.