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Finding the Fourth Proportional to 10,581.63, 15,870.92 and 7,409.45

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Solution

The fourth proportional to 10,581.63, 15,870.92 and 7,409.45 is: 11,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.63 : 15,870.92 = 7,409.45 : x
  2. Step 2: Convert to fraction form
    10,581.63/15,870.92 = 7,409.45/x
  3. Step 3: Cross multiply
    10,581.63x = 15,870.92 × 7,409.45
  4. Step 4: Simplify right side
    10,581.63x = 117,594,671.79
  5. Step 5: Solve for x
    x = 117,594,671.79/10,581.63
  6. Step 6: Final answer
    x = 11,113.10

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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.