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Finding the Fourth Proportional to 31,521, 47,281.50 and 13,053

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Solution

The fourth proportional to 31,521, 47,281.50 and 13,053 is: 19,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,521 : 47,281.50 = 13,053 : x
  2. Step 2: Convert to fraction form
    31,521/47,281.50 = 13,053/x
  3. Step 3: Cross multiply
    31,521x = 47,281.50 × 13,053
  4. Step 4: Simplify right side
    31,521x = 617,165,419.50
  5. Step 5: Solve for x
    x = 617,165,419.50/31,521
  6. Step 6: Final answer
    x = 19,579.50

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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.