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Finding the Fourth Proportional to 15,578, 21,497.64 and 11,602.52

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Solution

The fourth proportional to 15,578, 21,497.64 and 11,602.52 is: 16,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578 : 21,497.64 = 11,602.52 : x
  2. Step 2: Convert to fraction form
    15,578/21,497.64 = 11,602.52/x
  3. Step 3: Cross multiply
    15,578x = 21,497.64 × 11,602.52
  4. Step 4: Simplify right side
    15,578x = 249,426,798.05
  5. Step 5: Solve for x
    x = 249,426,798.05/15,578
  6. Step 6: Final answer
    x = 16,011.48

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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.