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Finding the Fourth Proportional to 34,552, 47,681.76 and 20,405.08

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Solution

The fourth proportional to 34,552, 47,681.76 and 20,405.08 is: 28,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,552 : 47,681.76 = 20,405.08 : x
  2. Step 2: Convert to fraction form
    34,552/47,681.76 = 20,405.08/x
  3. Step 3: Cross multiply
    34,552x = 47,681.76 × 20,405.08
  4. Step 4: Simplify right side
    34,552x = 972,950,127.34
  5. Step 5: Solve for x
    x = 972,950,127.34/34,552
  6. Step 6: Final answer
    x = 28,159.01

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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.