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Finding the Fourth Proportional to 39,130, 58,703.64 and 14,506

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Solution

The fourth proportional to 39,130, 58,703.64 and 14,506 is: 21,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,130 : 58,703.64 = 14,506 : x
  2. Step 2: Convert to fraction form
    39,130/58,703.64 = 14,506/x
  3. Step 3: Cross multiply
    39,130x = 58,703.64 × 14,506
  4. Step 4: Simplify right side
    39,130x = 851,555,001.84
  5. Step 5: Solve for x
    x = 851,555,001.84/39,130
  6. Step 6: Final answer
    x = 21,762.20

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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.