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Finding the Fourth Proportional to 14,917.50, 20,557.80 and 9,603.90

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Solution

The fourth proportional to 14,917.50, 20,557.80 and 9,603.90 is: 13,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.50 : 20,557.80 = 9,603.90 : x
  2. Step 2: Convert to fraction form
    14,917.50/20,557.80 = 9,603.90/x
  3. Step 3: Cross multiply
    14,917.50x = 20,557.80 × 9,603.90
  4. Step 4: Simplify right side
    14,917.50x = 197,435,055.42
  5. Step 5: Solve for x
    x = 197,435,055.42/14,917.50
  6. Step 6: Final answer
    x = 13,235.13

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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.