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Finding the Fourth Proportional to 43,260, 64,890 and 10,428

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Solution

The fourth proportional to 43,260, 64,890 and 10,428 is: 15,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,260 : 64,890 = 10,428 : x
  2. Step 2: Convert to fraction form
    43,260/64,890 = 10,428/x
  3. Step 3: Cross multiply
    43,260x = 64,890 × 10,428
  4. Step 4: Simplify right side
    43,260x = 676,672,920
  5. Step 5: Solve for x
    x = 676,672,920/43,260
  6. Step 6: Final answer
    x = 15,642

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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.