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Finding the Fourth Proportional to 7,138.21, 9,855.19 and 4,587.00

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Solution

The fourth proportional to 7,138.21, 9,855.19 and 4,587.00 is: 6,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.21 : 9,855.19 = 4,587.00 : x
  2. Step 2: Convert to fraction form
    7,138.21/9,855.19 = 4,587.00/x
  3. Step 3: Cross multiply
    7,138.21x = 9,855.19 × 4,587.00
  4. Step 4: Simplify right side
    7,138.21x = 45,205,752.39
  5. Step 5: Solve for x
    x = 45,205,752.39/7,138.21
  6. Step 6: Final answer
    x = 6,332.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.