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Finding the Fourth Proportional to 14,914.88, 20,583.54 and 9,870.40

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Solution

The fourth proportional to 14,914.88, 20,583.54 and 9,870.40 is: 13,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.88 : 20,583.54 = 9,870.40 : x
  2. Step 2: Convert to fraction form
    14,914.88/20,583.54 = 9,870.40/x
  3. Step 3: Cross multiply
    14,914.88x = 20,583.54 × 9,870.40
  4. Step 4: Simplify right side
    14,914.88x = 203,167,773.22
  5. Step 5: Solve for x
    x = 203,167,773.22/14,914.88
  6. Step 6: Final answer
    x = 13,621.82

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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.