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Finding the Fourth Proportional to 22,970.40, 31,703.28 and 13,538.40

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Solution

The fourth proportional to 22,970.40, 31,703.28 and 13,538.40 is: 18,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.40 : 31,703.28 = 13,538.40 : x
  2. Step 2: Convert to fraction form
    22,970.40/31,703.28 = 13,538.40/x
  3. Step 3: Cross multiply
    22,970.40x = 31,703.28 × 13,538.40
  4. Step 4: Simplify right side
    22,970.40x = 429,211,685.95
  5. Step 5: Solve for x
    x = 429,211,685.95/22,970.40
  6. Step 6: Final answer
    x = 18,685.42

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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.