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Finding the Fourth Proportional to 15,490.17, 21,381.93 and 9,202.50

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Solution

The fourth proportional to 15,490.17, 21,381.93 and 9,202.50 is: 12,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.17 : 21,381.93 = 9,202.50 : x
  2. Step 2: Convert to fraction form
    15,490.17/21,381.93 = 9,202.50/x
  3. Step 3: Cross multiply
    15,490.17x = 21,381.93 × 9,202.50
  4. Step 4: Simplify right side
    15,490.17x = 196,767,210.83
  5. Step 5: Solve for x
    x = 196,767,210.83/15,490.17
  6. Step 6: Final answer
    x = 12,702.71

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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.