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Finding the Fourth Proportional to 12,423.70, 17,140.57 and 7,045.47

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Solution

The fourth proportional to 12,423.70, 17,140.57 and 7,045.47 is: 9,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.70 : 17,140.57 = 7,045.47 : x
  2. Step 2: Convert to fraction form
    12,423.70/17,140.57 = 7,045.47/x
  3. Step 3: Cross multiply
    12,423.70x = 17,140.57 × 7,045.47
  4. Step 4: Simplify right side
    12,423.70x = 120,763,354.10
  5. Step 5: Solve for x
    x = 120,763,354.10/12,423.70
  6. Step 6: Final answer
    x = 9,720.40

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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.