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Finding the Fourth Proportional to 9,702.40, 14,553.60 and 4,518.40

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Solution

The fourth proportional to 9,702.40, 14,553.60 and 4,518.40 is: 6,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.40 : 14,553.60 = 4,518.40 : x
  2. Step 2: Convert to fraction form
    9,702.40/14,553.60 = 4,518.40/x
  3. Step 3: Cross multiply
    9,702.40x = 14,553.60 × 4,518.40
  4. Step 4: Simplify right side
    9,702.40x = 65,758,986.24
  5. Step 5: Solve for x
    x = 65,758,986.24/9,702.40
  6. Step 6: Final answer
    x = 6,777.60

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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.