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Finding the Fourth Proportional to 5,124.40, 7,681.80 and 4,013.20

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Solution

The fourth proportional to 5,124.40, 7,681.80 and 4,013.20 is: 6,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.40 : 7,681.80 = 4,013.20 : x
  2. Step 2: Convert to fraction form
    5,124.40/7,681.80 = 4,013.20/x
  3. Step 3: Cross multiply
    5,124.40x = 7,681.80 × 4,013.20
  4. Step 4: Simplify right side
    5,124.40x = 30,828,599.76
  5. Step 5: Solve for x
    x = 30,828,599.76/5,124.40
  6. Step 6: Final answer
    x = 6,016.04

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1.5x scale

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.