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Finding the Fourth Proportional to 31,510.70, 47,266.05 and 28,886.30

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Solution

The fourth proportional to 31,510.70, 47,266.05 and 28,886.30 is: 43,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.70 : 47,266.05 = 28,886.30 : x
  2. Step 2: Convert to fraction form
    31,510.70/47,266.05 = 28,886.30/x
  3. Step 3: Cross multiply
    31,510.70x = 47,266.05 × 28,886.30
  4. Step 4: Simplify right side
    31,510.70x = 1,365,341,300.12
  5. Step 5: Solve for x
    x = 1,365,341,300.12/31,510.70
  6. Step 6: Final answer
    x = 43,329.45

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1.5x scale

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.