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Finding the Fourth Proportional to 25,426, 35,089.80 and 14,248.72

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Solution

The fourth proportional to 25,426, 35,089.80 and 14,248.72 is: 19,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,426 : 35,089.80 = 14,248.72 : x
  2. Step 2: Convert to fraction form
    25,426/35,089.80 = 14,248.72/x
  3. Step 3: Cross multiply
    25,426x = 35,089.80 × 14,248.72
  4. Step 4: Simplify right side
    25,426x = 499,984,735.06
  5. Step 5: Solve for x
    x = 499,984,735.06/25,426
  6. Step 6: Final answer
    x = 19,664.31

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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.