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Finding the Fourth Proportional to 15,690, 23,620.61 and 14,312.16

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Solution

The fourth proportional to 15,690, 23,620.61 and 14,312.16 is: 21,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,690 : 23,620.61 = 14,312.16 : x
  2. Step 2: Convert to fraction form
    15,690/23,620.61 = 14,312.16/x
  3. Step 3: Cross multiply
    15,690x = 23,620.61 × 14,312.16
  4. Step 4: Simplify right side
    15,690x = 338,061,878.06
  5. Step 5: Solve for x
    x = 338,061,878.06/15,690
  6. Step 6: Final answer
    x = 21,546.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.