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Finding the Fourth Proportional to 35,970.40, 53,952.72 and 12,275.92

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Solution

The fourth proportional to 35,970.40, 53,952.72 and 12,275.92 is: 18,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.40 : 53,952.72 = 12,275.92 : x
  2. Step 2: Convert to fraction form
    35,970.40/53,952.72 = 12,275.92/x
  3. Step 3: Cross multiply
    35,970.40x = 53,952.72 × 12,275.92
  4. Step 4: Simplify right side
    35,970.40x = 662,319,274.50
  5. Step 5: Solve for x
    x = 662,319,274.50/35,970.40
  6. Step 6: Final answer
    x = 18,412.90

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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.