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Finding the Fourth Proportional to 25,900.16, 35,740.32 and 14,720

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Solution

The fourth proportional to 25,900.16, 35,740.32 and 14,720 is: 20,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.16 : 35,740.32 = 14,720 : x
  2. Step 2: Convert to fraction form
    25,900.16/35,740.32 = 14,720/x
  3. Step 3: Cross multiply
    25,900.16x = 35,740.32 × 14,720
  4. Step 4: Simplify right side
    25,900.16x = 526,097,510.40
  5. Step 5: Solve for x
    x = 526,097,510.40/25,900.16
  6. Step 6: Final answer
    x = 20,312.52

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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.