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Finding the Fourth Proportional to 10,271.50, 15,405.70 and 2,875

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Solution

The fourth proportional to 10,271.50, 15,405.70 and 2,875 is: 4,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.50 : 15,405.70 = 2,875 : x
  2. Step 2: Convert to fraction form
    10,271.50/15,405.70 = 2,875/x
  3. Step 3: Cross multiply
    10,271.50x = 15,405.70 × 2,875
  4. Step 4: Simplify right side
    10,271.50x = 44,291,387.50
  5. Step 5: Solve for x
    x = 44,291,387.50/10,271.50
  6. Step 6: Final answer
    x = 4,312.07

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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.