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Finding the Fourth Proportional to 21,689.86, 32,547.08 and 10,003.08

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Solution

The fourth proportional to 21,689.86, 32,547.08 and 10,003.08 is: 15,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.86 : 32,547.08 = 10,003.08 : x
  2. Step 2: Convert to fraction form
    21,689.86/32,547.08 = 10,003.08/x
  3. Step 3: Cross multiply
    21,689.86x = 32,547.08 × 10,003.08
  4. Step 4: Simplify right side
    21,689.86x = 325,571,045.01
  5. Step 5: Solve for x
    x = 325,571,045.01/21,689.86
  6. Step 6: Final answer
    x = 15,010.29

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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.