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Finding the Fourth Proportional to 39,617, 59,384.55 and 13,312.88

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Solution

The fourth proportional to 39,617, 59,384.55 and 13,312.88 is: 19,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,617 : 59,384.55 = 13,312.88 : x
  2. Step 2: Convert to fraction form
    39,617/59,384.55 = 13,312.88/x
  3. Step 3: Cross multiply
    39,617x = 59,384.55 × 13,312.88
  4. Step 4: Simplify right side
    39,617x = 790,579,388.00
  5. Step 5: Solve for x
    x = 790,579,388.00/39,617
  6. Step 6: Final answer
    x = 19,955.56

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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.