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Finding the Fourth Proportional to 10,577.79, 15,866.80 and 5,031.70

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Solution

The fourth proportional to 10,577.79, 15,866.80 and 5,031.70 is: 7,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.79 : 15,866.80 = 5,031.70 : x
  2. Step 2: Convert to fraction form
    10,577.79/15,866.80 = 5,031.70/x
  3. Step 3: Cross multiply
    10,577.79x = 15,866.80 × 5,031.70
  4. Step 4: Simplify right side
    10,577.79x = 79,836,977.56
  5. Step 5: Solve for x
    x = 79,836,977.56/10,577.79
  6. Step 6: Final answer
    x = 7,547.60

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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.