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Finding the Fourth Proportional to 5,765.10, 8,642.98 and 5,303.80

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Solution

The fourth proportional to 5,765.10, 8,642.98 and 5,303.80 is: 7,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.10 : 8,642.98 = 5,303.80 : x
  2. Step 2: Convert to fraction form
    5,765.10/8,642.98 = 5,303.80/x
  3. Step 3: Cross multiply
    5,765.10x = 8,642.98 × 5,303.80
  4. Step 4: Simplify right side
    5,765.10x = 45,840,637.32
  5. Step 5: Solve for x
    x = 45,840,637.32/5,765.10
  6. Step 6: Final answer
    x = 7,951.40

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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.