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Finding the Fourth Proportional to 42,973.92, 64,461.12 and 19,584

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Solution

The fourth proportional to 42,973.92, 64,461.12 and 19,584 is: 29,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,973.92 : 64,461.12 = 19,584 : x
  2. Step 2: Convert to fraction form
    42,973.92/64,461.12 = 19,584/x
  3. Step 3: Cross multiply
    42,973.92x = 64,461.12 × 19,584
  4. Step 4: Simplify right side
    42,973.92x = 1,262,406,574.08
  5. Step 5: Solve for x
    x = 1,262,406,574.08/42,973.92
  6. Step 6: Final answer
    x = 29,376.11

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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.