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Finding the Fourth Proportional to 15,424.80, 23,140.80 and 8,030.40

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Solution

The fourth proportional to 15,424.80, 23,140.80 and 8,030.40 is: 12,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424.80 : 23,140.80 = 8,030.40 : x
  2. Step 2: Convert to fraction form
    15,424.80/23,140.80 = 8,030.40/x
  3. Step 3: Cross multiply
    15,424.80x = 23,140.80 × 8,030.40
  4. Step 4: Simplify right side
    15,424.80x = 185,829,880.32
  5. Step 5: Solve for x
    x = 185,829,880.32/15,424.80
  6. Step 6: Final answer
    x = 12,047.47

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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.