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Finding the Fourth Proportional to 10,397, 14,348.20 and 5,681.58

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Solution

The fourth proportional to 10,397, 14,348.20 and 5,681.58 is: 7,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397 : 14,348.20 = 5,681.58 : x
  2. Step 2: Convert to fraction form
    10,397/14,348.20 = 5,681.58/x
  3. Step 3: Cross multiply
    10,397x = 14,348.20 × 5,681.58
  4. Step 4: Simplify right side
    10,397x = 81,520,446.16
  5. Step 5: Solve for x
    x = 81,520,446.16/10,397
  6. Step 6: Final answer
    x = 7,840.77

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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.