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Finding the Fourth Proportional to 10,710, 16,064.98 and 4,862.50

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Solution

The fourth proportional to 10,710, 16,064.98 and 4,862.50 is: 7,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710 : 16,064.98 = 4,862.50 : x
  2. Step 2: Convert to fraction form
    10,710/16,064.98 = 4,862.50/x
  3. Step 3: Cross multiply
    10,710x = 16,064.98 × 4,862.50
  4. Step 4: Simplify right side
    10,710x = 78,115,965.25
  5. Step 5: Solve for x
    x = 78,115,965.25/10,710
  6. Step 6: Final answer
    x = 7,293.74

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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.