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Finding the Fourth Proportional to 7,878.34, 11,756.53 and 7,005.70

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Solution

The fourth proportional to 7,878.34, 11,756.53 and 7,005.70 is: 10,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.34 : 11,756.53 = 7,005.70 : x
  2. Step 2: Convert to fraction form
    7,878.34/11,756.53 = 7,005.70/x
  3. Step 3: Cross multiply
    7,878.34x = 11,756.53 × 7,005.70
  4. Step 4: Simplify right side
    7,878.34x = 82,362,722.22
  5. Step 5: Solve for x
    x = 82,362,722.22/7,878.34
  6. Step 6: Final answer
    x = 10,454.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.