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Finding the Fourth Proportional to 15,705.60, 21,683.88 and 10,407.60

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Solution

The fourth proportional to 15,705.60, 21,683.88 and 10,407.60 is: 14,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.60 : 21,683.88 = 10,407.60 : x
  2. Step 2: Convert to fraction form
    15,705.60/21,683.88 = 10,407.60/x
  3. Step 3: Cross multiply
    15,705.60x = 21,683.88 × 10,407.60
  4. Step 4: Simplify right side
    15,705.60x = 225,677,149.49
  5. Step 5: Solve for x
    x = 225,677,149.49/15,705.60
  6. Step 6: Final answer
    x = 14,369.22

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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.