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Finding the Fourth Proportional to 14,978.90, 22,461.14 and 8,740.74

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Solution

The fourth proportional to 14,978.90, 22,461.14 and 8,740.74 is: 13,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.90 : 22,461.14 = 8,740.74 : x
  2. Step 2: Convert to fraction form
    14,978.90/22,461.14 = 8,740.74/x
  3. Step 3: Cross multiply
    14,978.90x = 22,461.14 × 8,740.74
  4. Step 4: Simplify right side
    14,978.90x = 196,326,941.14
  5. Step 5: Solve for x
    x = 196,326,941.14/14,978.90
  6. Step 6: Final answer
    x = 13,106.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.