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Finding the Fourth Proportional to 10,874.95, 15,011 and 9,923.47

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Solution

The fourth proportional to 10,874.95, 15,011 and 9,923.47 is: 13,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.95 : 15,011 = 9,923.47 : x
  2. Step 2: Convert to fraction form
    10,874.95/15,011 = 9,923.47/x
  3. Step 3: Cross multiply
    10,874.95x = 15,011 × 9,923.47
  4. Step 4: Simplify right side
    10,874.95x = 148,961,208.17
  5. Step 5: Solve for x
    x = 148,961,208.17/10,874.95
  6. Step 6: Final answer
    x = 13,697.65

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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.