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Finding the Fourth Proportional to 7,209.40, 10,116.20 and 7,209.40

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Solution

The fourth proportional to 7,209.40, 10,116.20 and 7,209.40 is: 10,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.40 : 10,116.20 = 7,209.40 : x
  2. Step 2: Convert to fraction form
    7,209.40/10,116.20 = 7,209.40/x
  3. Step 3: Cross multiply
    7,209.40x = 10,116.20 × 7,209.40
  4. Step 4: Simplify right side
    7,209.40x = 72,931,732.28
  5. Step 5: Solve for x
    x = 72,931,732.28/7,209.40
  6. Step 6: Final answer
    x = 10,116.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.