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Finding the Fourth Proportional to 39,672, 59,510.40 and 11,970.24

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Solution

The fourth proportional to 39,672, 59,510.40 and 11,970.24 is: 17,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,672 : 59,510.40 = 11,970.24 : x
  2. Step 2: Convert to fraction form
    39,672/59,510.40 = 11,970.24/x
  3. Step 3: Cross multiply
    39,672x = 59,510.40 × 11,970.24
  4. Step 4: Simplify right side
    39,672x = 712,353,770.50
  5. Step 5: Solve for x
    x = 712,353,770.50/39,672
  6. Step 6: Final answer
    x = 17,956.08

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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.