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Finding the Fourth Proportional to 14,547.70, 21,814.63 and 6,647.88

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Solution

The fourth proportional to 14,547.70, 21,814.63 and 6,647.88 is: 9,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.70 : 21,814.63 = 6,647.88 : x
  2. Step 2: Convert to fraction form
    14,547.70/21,814.63 = 6,647.88/x
  3. Step 3: Cross multiply
    14,547.70x = 21,814.63 × 6,647.88
  4. Step 4: Simplify right side
    14,547.70x = 145,021,042.48
  5. Step 5: Solve for x
    x = 145,021,042.48/14,547.70
  6. Step 6: Final answer
    x = 9,968.66

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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.