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Finding the Fourth Proportional to 14,980.88, 20,678.46 and 9,671.60

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Solution

The fourth proportional to 14,980.88, 20,678.46 and 9,671.60 is: 13,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.88 : 20,678.46 = 9,671.60 : x
  2. Step 2: Convert to fraction form
    14,980.88/20,678.46 = 9,671.60/x
  3. Step 3: Cross multiply
    14,980.88x = 20,678.46 × 9,671.60
  4. Step 4: Simplify right side
    14,980.88x = 199,993,809.16
  5. Step 5: Solve for x
    x = 199,993,809.16/14,980.88
  6. Step 6: Final answer
    x = 13,349.94

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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.