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Finding the Fourth Proportional to 35,420.71, 53,122.56 and 10,454.01

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Solution

The fourth proportional to 35,420.71, 53,122.56 and 10,454.01 is: 15,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420.71 : 53,122.56 = 10,454.01 : x
  2. Step 2: Convert to fraction form
    35,420.71/53,122.56 = 10,454.01/x
  3. Step 3: Cross multiply
    35,420.71x = 53,122.56 × 10,454.01
  4. Step 4: Simplify right side
    35,420.71x = 555,343,773.47
  5. Step 5: Solve for x
    x = 555,343,773.47/35,420.71
  6. Step 6: Final answer
    x = 15,678.50

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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.