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Finding the Fourth Proportional to 10,654.76, 15,985.74 and 4,417.76

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Solution

The fourth proportional to 10,654.76, 15,985.74 and 4,417.76 is: 6,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.76 : 15,985.74 = 4,417.76 : x
  2. Step 2: Convert to fraction form
    10,654.76/15,985.74 = 4,417.76/x
  3. Step 3: Cross multiply
    10,654.76x = 15,985.74 × 4,417.76
  4. Step 4: Simplify right side
    10,654.76x = 70,621,162.74
  5. Step 5: Solve for x
    x = 70,621,162.74/10,654.76
  6. Step 6: Final answer
    x = 6,628.13

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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.