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Finding the Fourth Proportional to 25,988.64, 38,980.80 and 10,407.12

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Solution

The fourth proportional to 25,988.64, 38,980.80 and 10,407.12 is: 15,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.64 : 38,980.80 = 10,407.12 : x
  2. Step 2: Convert to fraction form
    25,988.64/38,980.80 = 10,407.12/x
  3. Step 3: Cross multiply
    25,988.64x = 38,980.80 × 10,407.12
  4. Step 4: Simplify right side
    25,988.64x = 405,677,863.30
  5. Step 5: Solve for x
    x = 405,677,863.30/25,988.64
  6. Step 6: Final answer
    x = 15,609.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.