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Finding the Fourth Proportional to 25,716, 38,574 and 7,248

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Solution

The fourth proportional to 25,716, 38,574 and 7,248 is: 10,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716 : 38,574 = 7,248 : x
  2. Step 2: Convert to fraction form
    25,716/38,574 = 7,248/x
  3. Step 3: Cross multiply
    25,716x = 38,574 × 7,248
  4. Step 4: Simplify right side
    25,716x = 279,584,352
  5. Step 5: Solve for x
    x = 279,584,352/25,716
  6. Step 6: Final answer
    x = 10,872

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.