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Finding the Fourth Proportional to 9,002.40, 13,498.80 and 3,802.40

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Solution

The fourth proportional to 9,002.40, 13,498.80 and 3,802.40 is: 5,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.40 : 13,498.80 = 3,802.40 : x
  2. Step 2: Convert to fraction form
    9,002.40/13,498.80 = 3,802.40/x
  3. Step 3: Cross multiply
    9,002.40x = 13,498.80 × 3,802.40
  4. Step 4: Simplify right side
    9,002.40x = 51,327,837.12
  5. Step 5: Solve for x
    x = 51,327,837.12/9,002.40
  6. Step 6: Final answer
    x = 5,701.57

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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.