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Finding the Fourth Proportional to 9,000.40, 12,420.12 and 5,020.80

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Solution

The fourth proportional to 9,000.40, 12,420.12 and 5,020.80 is: 6,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.40 : 12,420.12 = 5,020.80 : x
  2. Step 2: Convert to fraction form
    9,000.40/12,420.12 = 5,020.80/x
  3. Step 3: Cross multiply
    9,000.40x = 12,420.12 × 5,020.80
  4. Step 4: Simplify right side
    9,000.40x = 62,358,938.50
  5. Step 5: Solve for x
    x = 62,358,938.50/9,000.40
  6. Step 6: Final answer
    x = 6,928.46

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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.