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Finding the Fourth Proportional to 2,715.80, 4,070.10 and 1,416.92

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Solution

The fourth proportional to 2,715.80, 4,070.10 and 1,416.92 is: 2,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.80 : 4,070.10 = 1,416.92 : x
  2. Step 2: Convert to fraction form
    2,715.80/4,070.10 = 1,416.92/x
  3. Step 3: Cross multiply
    2,715.80x = 4,070.10 × 1,416.92
  4. Step 4: Simplify right side
    2,715.80x = 5,767,006.09
  5. Step 5: Solve for x
    x = 5,767,006.09/2,715.80
  6. Step 6: Final answer
    x = 2,123.50

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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.