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Finding the Fourth Proportional to 10,154.16, 14,021.10 and 7,019.46

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Solution

The fourth proportional to 10,154.16, 14,021.10 and 7,019.46 is: 9,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.16 : 14,021.10 = 7,019.46 : x
  2. Step 2: Convert to fraction form
    10,154.16/14,021.10 = 7,019.46/x
  3. Step 3: Cross multiply
    10,154.16x = 14,021.10 × 7,019.46
  4. Step 4: Simplify right side
    10,154.16x = 98,420,550.61
  5. Step 5: Solve for x
    x = 98,420,550.61/10,154.16
  6. Step 6: Final answer
    x = 9,692.63

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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.