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Finding the Fourth Proportional to 35,437, 53,178.54 and 13,549

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Solution

The fourth proportional to 35,437, 53,178.54 and 13,549 is: 20,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,437 : 53,178.54 = 13,549 : x
  2. Step 2: Convert to fraction form
    35,437/53,178.54 = 13,549/x
  3. Step 3: Cross multiply
    35,437x = 53,178.54 × 13,549
  4. Step 4: Simplify right side
    35,437x = 720,516,038.46
  5. Step 5: Solve for x
    x = 720,516,038.46/35,437
  6. Step 6: Final answer
    x = 20,332.31

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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.