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Finding the Fourth Proportional to 42,564.35, 63,824.35 and 15,888.40

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Solution

The fourth proportional to 42,564.35, 63,824.35 and 15,888.40 is: 23,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564.35 : 63,824.35 = 15,888.40 : x
  2. Step 2: Convert to fraction form
    42,564.35/63,824.35 = 15,888.40/x
  3. Step 3: Cross multiply
    42,564.35x = 63,824.35 × 15,888.40
  4. Step 4: Simplify right side
    42,564.35x = 1,014,066,802.54
  5. Step 5: Solve for x
    x = 1,014,066,802.54/42,564.35
  6. Step 6: Final answer
    x = 23,824.32

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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.