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Finding the Fourth Proportional to 7,057.60, 9,740.16 and 4,074.40

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Solution

The fourth proportional to 7,057.60, 9,740.16 and 4,074.40 is: 5,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.60 : 9,740.16 = 4,074.40 : x
  2. Step 2: Convert to fraction form
    7,057.60/9,740.16 = 4,074.40/x
  3. Step 3: Cross multiply
    7,057.60x = 9,740.16 × 4,074.40
  4. Step 4: Simplify right side
    7,057.60x = 39,685,307.90
  5. Step 5: Solve for x
    x = 39,685,307.90/7,057.60
  6. Step 6: Final answer
    x = 5,623.06

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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.