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Finding the Fourth Proportional to 10,465, 15,704.70 and 4,309

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Solution

The fourth proportional to 10,465, 15,704.70 and 4,309 is: 6,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465 : 15,704.70 = 4,309 : x
  2. Step 2: Convert to fraction form
    10,465/15,704.70 = 4,309/x
  3. Step 3: Cross multiply
    10,465x = 15,704.70 × 4,309
  4. Step 4: Simplify right side
    10,465x = 67,671,552.30
  5. Step 5: Solve for x
    x = 67,671,552.30/10,465
  6. Step 6: Final answer
    x = 6,466.46

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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.