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Finding the Fourth Proportional to 2,854.84, 3,931.80 and 2,461.72

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Solution

The fourth proportional to 2,854.84, 3,931.80 and 2,461.72 is: 3,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.84 : 3,931.80 = 2,461.72 : x
  2. Step 2: Convert to fraction form
    2,854.84/3,931.80 = 2,461.72/x
  3. Step 3: Cross multiply
    2,854.84x = 3,931.80 × 2,461.72
  4. Step 4: Simplify right side
    2,854.84x = 9,678,990.70
  5. Step 5: Solve for x
    x = 9,678,990.70/2,854.84
  6. Step 6: Final answer
    x = 3,390.38

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1.5x scale

Why These Related Problems?

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