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Finding the Fourth Proportional to 25,953.70, 38,931.15 and 9,314.86

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Solution

The fourth proportional to 25,953.70, 38,931.15 and 9,314.86 is: 13,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,953.70 : 38,931.15 = 9,314.86 : x
  2. Step 2: Convert to fraction form
    25,953.70/38,931.15 = 9,314.86/x
  3. Step 3: Cross multiply
    25,953.70x = 38,931.15 × 9,314.86
  4. Step 4: Simplify right side
    25,953.70x = 362,638,211.89
  5. Step 5: Solve for x
    x = 362,638,211.89/25,953.70
  6. Step 6: Final answer
    x = 13,972.51

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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.