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Finding the Fourth Proportional to 5,722.12, 7,878.97 and 5,009.98

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Solution

The fourth proportional to 5,722.12, 7,878.97 and 5,009.98 is: 6,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.12 : 7,878.97 = 5,009.98 : x
  2. Step 2: Convert to fraction form
    5,722.12/7,878.97 = 5,009.98/x
  3. Step 3: Cross multiply
    5,722.12x = 7,878.97 × 5,009.98
  4. Step 4: Simplify right side
    5,722.12x = 39,473,482.12
  5. Step 5: Solve for x
    x = 39,473,482.12/5,722.12
  6. Step 6: Final answer
    x = 6,898.40

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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.