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Finding the Fourth Proportional to 22,400.40, 30,895.02 and 13,897.74

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Solution

The fourth proportional to 22,400.40, 30,895.02 and 13,897.74 is: 19,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400.40 : 30,895.02 = 13,897.74 : x
  2. Step 2: Convert to fraction form
    22,400.40/30,895.02 = 13,897.74/x
  3. Step 3: Cross multiply
    22,400.40x = 30,895.02 × 13,897.74
  4. Step 4: Simplify right side
    22,400.40x = 429,370,955.25
  5. Step 5: Solve for x
    x = 429,370,955.25/22,400.40
  6. Step 6: Final answer
    x = 19,168.00

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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.