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Finding the Fourth Proportional to 42,477.84, 63,712.65 and 12,895.93

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Solution

The fourth proportional to 42,477.84, 63,712.65 and 12,895.93 is: 19,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.84 : 63,712.65 = 12,895.93 : x
  2. Step 2: Convert to fraction form
    42,477.84/63,712.65 = 12,895.93/x
  3. Step 3: Cross multiply
    42,477.84x = 63,712.65 × 12,895.93
  4. Step 4: Simplify right side
    42,477.84x = 821,634,145.44
  5. Step 5: Solve for x
    x = 821,634,145.44/42,477.84
  6. Step 6: Final answer
    x = 19,342.65

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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.