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Finding the Fourth Proportional to 25,478, 35,159.88 and 14,300.24

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Solution

The fourth proportional to 25,478, 35,159.88 and 14,300.24 is: 19,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478 : 35,159.88 = 14,300.24 : x
  2. Step 2: Convert to fraction form
    25,478/35,159.88 = 14,300.24/x
  3. Step 3: Cross multiply
    25,478x = 35,159.88 × 14,300.24
  4. Step 4: Simplify right side
    25,478x = 502,794,722.37
  5. Step 5: Solve for x
    x = 502,794,722.37/25,478
  6. Step 6: Final answer
    x = 19,734.47

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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.