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Finding the Fourth Proportional to 14,977.78, 20,665.74 and 9,671.68

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Solution

The fourth proportional to 14,977.78, 20,665.74 and 9,671.68 is: 13,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.78 : 20,665.74 = 9,671.68 : x
  2. Step 2: Convert to fraction form
    14,977.78/20,665.74 = 9,671.68/x
  3. Step 3: Cross multiply
    14,977.78x = 20,665.74 × 9,671.68
  4. Step 4: Simplify right side
    14,977.78x = 199,872,424.24
  5. Step 5: Solve for x
    x = 199,872,424.24/14,977.78
  6. Step 6: Final answer
    x = 13,344.60

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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.