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Finding the Fourth Proportional to 15,870.96, 21,740.40 and 15,696

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Solution

The fourth proportional to 15,870.96, 21,740.40 and 15,696 is: 21,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.96 : 21,740.40 = 15,696 : x
  2. Step 2: Convert to fraction form
    15,870.96/21,740.40 = 15,696/x
  3. Step 3: Cross multiply
    15,870.96x = 21,740.40 × 15,696
  4. Step 4: Simplify right side
    15,870.96x = 341,237,318.40
  5. Step 5: Solve for x
    x = 341,237,318.40/15,870.96
  6. Step 6: Final answer
    x = 21,500.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.