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Finding the Fourth Proportional to 15,315.12, 22,978.40 and 10,430.80

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Solution

The fourth proportional to 15,315.12, 22,978.40 and 10,430.80 is: 15,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315.12 : 22,978.40 = 10,430.80 : x
  2. Step 2: Convert to fraction form
    15,315.12/22,978.40 = 10,430.80/x
  3. Step 3: Cross multiply
    15,315.12x = 22,978.40 × 10,430.80
  4. Step 4: Simplify right side
    15,315.12x = 239,683,094.72
  5. Step 5: Solve for x
    x = 239,683,094.72/15,315.12
  6. Step 6: Final answer
    x = 15,650.10

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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.