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Finding the Fourth Proportional to 10,111.80, 14,000.94 and 9,334.20

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Solution

The fourth proportional to 10,111.80, 14,000.94 and 9,334.20 is: 12,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.80 : 14,000.94 = 9,334.20 : x
  2. Step 2: Convert to fraction form
    10,111.80/14,000.94 = 9,334.20/x
  3. Step 3: Cross multiply
    10,111.80x = 14,000.94 × 9,334.20
  4. Step 4: Simplify right side
    10,111.80x = 130,687,574.15
  5. Step 5: Solve for x
    x = 130,687,574.15/10,111.80
  6. Step 6: Final answer
    x = 12,924.26

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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.