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Finding the Fourth Proportional to 30,466, 45,699.06 and 9,689.56

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Solution

The fourth proportional to 30,466, 45,699.06 and 9,689.56 is: 14,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466 : 45,699.06 = 9,689.56 : x
  2. Step 2: Convert to fraction form
    30,466/45,699.06 = 9,689.56/x
  3. Step 3: Cross multiply
    30,466x = 45,699.06 × 9,689.56
  4. Step 4: Simplify right side
    30,466x = 442,803,783.81
  5. Step 5: Solve for x
    x = 442,803,783.81/30,466
  6. Step 6: Final answer
    x = 14,534.36

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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.