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Finding the Fourth Proportional to 32,978, 45,509.64 and 17,870.76

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Solution

The fourth proportional to 32,978, 45,509.64 and 17,870.76 is: 24,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978 : 45,509.64 = 17,870.76 : x
  2. Step 2: Convert to fraction form
    32,978/45,509.64 = 17,870.76/x
  3. Step 3: Cross multiply
    32,978x = 45,509.64 × 17,870.76
  4. Step 4: Simplify right side
    32,978x = 813,291,854.13
  5. Step 5: Solve for x
    x = 813,291,854.13/32,978
  6. Step 6: Final answer
    x = 24,661.65

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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.