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Finding the Fourth Proportional to 10,497.74, 14,487.90 and 7,840.54

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Solution

The fourth proportional to 10,497.74, 14,487.90 and 7,840.54 is: 10,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.74 : 14,487.90 = 7,840.54 : x
  2. Step 2: Convert to fraction form
    10,497.74/14,487.90 = 7,840.54/x
  3. Step 3: Cross multiply
    10,497.74x = 14,487.90 × 7,840.54
  4. Step 4: Simplify right side
    10,497.74x = 113,592,959.47
  5. Step 5: Solve for x
    x = 113,592,959.47/10,497.74
  6. Step 6: Final answer
    x = 10,820.71

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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.