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Finding the Fourth Proportional to 5,281.84, 7,921.40 and 1,583.12

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Solution

The fourth proportional to 5,281.84, 7,921.40 and 1,583.12 is: 2,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.84 : 7,921.40 = 1,583.12 : x
  2. Step 2: Convert to fraction form
    5,281.84/7,921.40 = 1,583.12/x
  3. Step 3: Cross multiply
    5,281.84x = 7,921.40 × 1,583.12
  4. Step 4: Simplify right side
    5,281.84x = 12,540,526.77
  5. Step 5: Solve for x
    x = 12,540,526.77/5,281.84
  6. Step 6: Final answer
    x = 2,374.27

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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.