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Finding the Fourth Proportional to 37,588, 56,390.64 and 12,964

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Solution

The fourth proportional to 37,588, 56,390.64 and 12,964 is: 19,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,588 : 56,390.64 = 12,964 : x
  2. Step 2: Convert to fraction form
    37,588/56,390.64 = 12,964/x
  3. Step 3: Cross multiply
    37,588x = 56,390.64 × 12,964
  4. Step 4: Simplify right side
    37,588x = 731,048,256.96
  5. Step 5: Solve for x
    x = 731,048,256.96/37,588
  6. Step 6: Final answer
    x = 19,448.98

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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.