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Finding the Fourth Proportional to 9,720.80, 14,552.40 and 6,437.60

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Solution

The fourth proportional to 9,720.80, 14,552.40 and 6,437.60 is: 9,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.80 : 14,552.40 = 6,437.60 : x
  2. Step 2: Convert to fraction form
    9,720.80/14,552.40 = 6,437.60/x
  3. Step 3: Cross multiply
    9,720.80x = 14,552.40 × 6,437.60
  4. Step 4: Simplify right side
    9,720.80x = 93,682,530.24
  5. Step 5: Solve for x
    x = 93,682,530.24/9,720.80
  6. Step 6: Final answer
    x = 9,637.33

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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.