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Finding the Fourth Proportional to 16,407.90, 24,615.45 and 5,312.70

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Solution

The fourth proportional to 16,407.90, 24,615.45 and 5,312.70 is: 7,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.90 : 24,615.45 = 5,312.70 : x
  2. Step 2: Convert to fraction form
    16,407.90/24,615.45 = 5,312.70/x
  3. Step 3: Cross multiply
    16,407.90x = 24,615.45 × 5,312.70
  4. Step 4: Simplify right side
    16,407.90x = 130,774,501.22
  5. Step 5: Solve for x
    x = 130,774,501.22/16,407.90
  6. Step 6: Final answer
    x = 7,970.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.