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Finding the Fourth Proportional to 35,528, 53,292 and 13,346.48

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Solution

The fourth proportional to 35,528, 53,292 and 13,346.48 is: 20,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,528 : 53,292 = 13,346.48 : x
  2. Step 2: Convert to fraction form
    35,528/53,292 = 13,346.48/x
  3. Step 3: Cross multiply
    35,528x = 53,292 × 13,346.48
  4. Step 4: Simplify right side
    35,528x = 711,260,612.16
  5. Step 5: Solve for x
    x = 711,260,612.16/35,528
  6. Step 6: Final answer
    x = 20,019.72

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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.