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Finding the Fourth Proportional to 8,970.78, 12,379.72 and 5,431.46

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Solution

The fourth proportional to 8,970.78, 12,379.72 and 5,431.46 is: 7,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.78 : 12,379.72 = 5,431.46 : x
  2. Step 2: Convert to fraction form
    8,970.78/12,379.72 = 5,431.46/x
  3. Step 3: Cross multiply
    8,970.78x = 12,379.72 × 5,431.46
  4. Step 4: Simplify right side
    8,970.78x = 67,239,953.99
  5. Step 5: Solve for x
    x = 67,239,953.99/8,970.78
  6. Step 6: Final answer
    x = 7,495.44

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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.