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Finding the Fourth Proportional to 25,901.76, 35,756 and 19,931.20

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Solution

The fourth proportional to 25,901.76, 35,756 and 19,931.20 is: 27,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901.76 : 35,756 = 19,931.20 : x
  2. Step 2: Convert to fraction form
    25,901.76/35,756 = 19,931.20/x
  3. Step 3: Cross multiply
    25,901.76x = 35,756 × 19,931.20
  4. Step 4: Simplify right side
    25,901.76x = 712,659,987.20
  5. Step 5: Solve for x
    x = 712,659,987.20/25,901.76
  6. Step 6: Final answer
    x = 27,513.96

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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.