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Finding the Fourth Proportional to 10,423.34, 14,390.90 and 9,302.34

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Solution

The fourth proportional to 10,423.34, 14,390.90 and 9,302.34 is: 12,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.34 : 14,390.90 = 9,302.34 : x
  2. Step 2: Convert to fraction form
    10,423.34/14,390.90 = 9,302.34/x
  3. Step 3: Cross multiply
    10,423.34x = 14,390.90 × 9,302.34
  4. Step 4: Simplify right side
    10,423.34x = 133,869,044.71
  5. Step 5: Solve for x
    x = 133,869,044.71/10,423.34
  6. Step 6: Final answer
    x = 12,843.20

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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.