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Finding the Fourth Proportional to 21,698, 32,547.02 and 5,282

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Solution

The fourth proportional to 21,698, 32,547.02 and 5,282 is: 7,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698 : 32,547.02 = 5,282 : x
  2. Step 2: Convert to fraction form
    21,698/32,547.02 = 5,282/x
  3. Step 3: Cross multiply
    21,698x = 32,547.02 × 5,282
  4. Step 4: Simplify right side
    21,698x = 171,913,359.64
  5. Step 5: Solve for x
    x = 171,913,359.64/21,698
  6. Step 6: Final answer
    x = 7,923.00

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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.