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Finding the Fourth Proportional to 30,602.40, 45,904.10 and 9,543

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Solution

The fourth proportional to 30,602.40, 45,904.10 and 9,543 is: 14,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.40 : 45,904.10 = 9,543 : x
  2. Step 2: Convert to fraction form
    30,602.40/45,904.10 = 9,543/x
  3. Step 3: Cross multiply
    30,602.40x = 45,904.10 × 9,543
  4. Step 4: Simplify right side
    30,602.40x = 438,062,826.30
  5. Step 5: Solve for x
    x = 438,062,826.30/30,602.40
  6. Step 6: Final answer
    x = 14,314.66

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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.