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Finding the Fourth Proportional to 2,038.60, 3,056.93 and 651.61

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Solution

The fourth proportional to 2,038.60, 3,056.93 and 651.61 is: 977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.60 : 3,056.93 = 651.61 : x
  2. Step 2: Convert to fraction form
    2,038.60/3,056.93 = 651.61/x
  3. Step 3: Cross multiply
    2,038.60x = 3,056.93 × 651.61
  4. Step 4: Simplify right side
    2,038.60x = 1,991,926.16
  5. Step 5: Solve for x
    x = 1,991,926.16/2,038.60
  6. Step 6: Final answer
    x = 977.10

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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.