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Finding the Fourth Proportional to 14,702.52, 20,289.96 and 7,988.64

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Solution

The fourth proportional to 14,702.52, 20,289.96 and 7,988.64 is: 11,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.52 : 20,289.96 = 7,988.64 : x
  2. Step 2: Convert to fraction form
    14,702.52/20,289.96 = 7,988.64/x
  3. Step 3: Cross multiply
    14,702.52x = 20,289.96 × 7,988.64
  4. Step 4: Simplify right side
    14,702.52x = 162,089,186.05
  5. Step 5: Solve for x
    x = 162,089,186.05/14,702.52
  6. Step 6: Final answer
    x = 11,024.59

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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.