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Finding the Fourth Proportional to 15,484.40, 21,368.16 and 8,411

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Solution

The fourth proportional to 15,484.40, 21,368.16 and 8,411 is: 11,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,484.40 : 21,368.16 = 8,411 : x
  2. Step 2: Convert to fraction form
    15,484.40/21,368.16 = 8,411/x
  3. Step 3: Cross multiply
    15,484.40x = 21,368.16 × 8,411
  4. Step 4: Simplify right side
    15,484.40x = 179,727,593.76
  5. Step 5: Solve for x
    x = 179,727,593.76/15,484.40
  6. Step 6: Final answer
    x = 11,607.01

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Why These Related Problems?

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