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Finding the Fourth Proportional to 47,218, 70,827 and 14,386

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Solution

The fourth proportional to 47,218, 70,827 and 14,386 is: 21,579

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,218 : 70,827 = 14,386 : x
  2. Step 2: Convert to fraction form
    47,218/70,827 = 14,386/x
  3. Step 3: Cross multiply
    47,218x = 70,827 × 14,386
  4. Step 4: Simplify right side
    47,218x = 1,018,917,222
  5. Step 5: Solve for x
    x = 1,018,917,222/47,218
  6. Step 6: Final answer
    x = 21,579

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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.