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Finding the Fourth Proportional to 8,430.72, 11,649.84 and 8,026.08

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Solution

The fourth proportional to 8,430.72, 11,649.84 and 8,026.08 is: 11,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.72 : 11,649.84 = 8,026.08 : x
  2. Step 2: Convert to fraction form
    8,430.72/11,649.84 = 8,026.08/x
  3. Step 3: Cross multiply
    8,430.72x = 11,649.84 × 8,026.08
  4. Step 4: Simplify right side
    8,430.72x = 93,502,547.83
  5. Step 5: Solve for x
    x = 93,502,547.83/8,430.72
  6. Step 6: Final answer
    x = 11,090.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.