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Finding the Fourth Proportional to 25,438, 35,106.60 and 14,262.16

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Solution

The fourth proportional to 25,438, 35,106.60 and 14,262.16 is: 19,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438 : 35,106.60 = 14,262.16 : x
  2. Step 2: Convert to fraction form
    25,438/35,106.60 = 14,262.16/x
  3. Step 3: Cross multiply
    25,438x = 35,106.60 × 14,262.16
  4. Step 4: Simplify right side
    25,438x = 500,695,946.26
  5. Step 5: Solve for x
    x = 500,695,946.26/25,438
  6. Step 6: Final answer
    x = 19,682.99

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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.