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Finding the Fourth Proportional to 25,623, 35,359.80 and 14,445

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Solution

The fourth proportional to 25,623, 35,359.80 and 14,445 is: 19,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,623 : 35,359.80 = 14,445 : x
  2. Step 2: Convert to fraction form
    25,623/35,359.80 = 14,445/x
  3. Step 3: Cross multiply
    25,623x = 35,359.80 × 14,445
  4. Step 4: Simplify right side
    25,623x = 510,772,311.00
  5. Step 5: Solve for x
    x = 510,772,311.00/25,623
  6. Step 6: Final answer
    x = 19,934.13

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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.