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Finding the Fourth Proportional to 14,271.18, 21,410 and 7,697.22

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Solution

The fourth proportional to 14,271.18, 21,410 and 7,697.22 is: 11,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.18 : 21,410 = 7,697.22 : x
  2. Step 2: Convert to fraction form
    14,271.18/21,410 = 7,697.22/x
  3. Step 3: Cross multiply
    14,271.18x = 21,410 × 7,697.22
  4. Step 4: Simplify right side
    14,271.18x = 164,797,480.20
  5. Step 5: Solve for x
    x = 164,797,480.20/14,271.18
  6. Step 6: Final answer
    x = 11,547.57

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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.