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Finding the Fourth Proportional to 7,031.80, 9,701.94 and 4,905.04

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Solution

The fourth proportional to 7,031.80, 9,701.94 and 4,905.04 is: 6,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.80 : 9,701.94 = 4,905.04 : x
  2. Step 2: Convert to fraction form
    7,031.80/9,701.94 = 4,905.04/x
  3. Step 3: Cross multiply
    7,031.80x = 9,701.94 × 4,905.04
  4. Step 4: Simplify right side
    7,031.80x = 47,588,403.78
  5. Step 5: Solve for x
    x = 47,588,403.78/7,031.80
  6. Step 6: Final answer
    x = 6,767.60

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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.