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Finding the Fourth Proportional to 30,498, 45,699.74 and 21,156.18

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Solution

The fourth proportional to 30,498, 45,699.74 and 21,156.18 is: 31,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498 : 45,699.74 = 21,156.18 : x
  2. Step 2: Convert to fraction form
    30,498/45,699.74 = 21,156.18/x
  3. Step 3: Cross multiply
    30,498x = 45,699.74 × 21,156.18
  4. Step 4: Simplify right side
    30,498x = 966,831,925.39
  5. Step 5: Solve for x
    x = 966,831,925.39/30,498
  6. Step 6: Final answer
    x = 31,701.49

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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.